%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG143+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 : n018.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 18:05:39 EDT 2022 % Result : Unsatisfiable 7.91s 8.08s % Output : Proof 8.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ALG143+1 : TPTP v8.1.0. Released v2.7.0. % 0.06/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n018.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 7 22:30:06 EDT 2022 % 0.12/0.34 % CPUTime : % 7.91/8.08 % SZS status Theorem % 7.91/8.08 (* PROOF-FOUND *) % 7.91/8.08 (* BEGIN-PROOF *) % 7.91/8.08 % SZS output start Proof % 7.91/8.08 1. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.08 2. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.08 3. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 7.91/8.08 4. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 1 2 3 % 7.91/8.08 5. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.08 6. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.08 7. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 7.91/8.08 8. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 5 6 7 % 7.91/8.08 9. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.08 10. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.08 11. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 7.91/8.08 12. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 9 10 11 % 7.91/8.08 13. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 14. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 15. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 7.91/8.08 16. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 13 14 15 % 7.91/8.08 17. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.08 18. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.08 19. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 7.91/8.08 20. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 17 18 19 % 7.91/8.08 21. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.91/8.08 22. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.91/8.08 23. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 7.91/8.08 24. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 21 22 23 % 7.91/8.08 25. ((e0) != (e0)) ### NotEqual % 7.91/8.08 26. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 7.91/8.08 27. ((op (e0) (op (e0) (e0))) != (op (e0) (e0))) ((op (e0) (e0)) = (e0)) ### NotEqual 25 26 % 7.91/8.08 28. ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e0)) = (e0)) ### Trans 27 25 % 7.91/8.08 29. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e0)) = (e0)) ### ConjTree 28 % 7.91/8.08 30. ((e1) != (e1)) ### NotEqual % 7.91/8.08 31. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom % 7.91/8.08 32. ((op (e1) (op (e1) (e1))) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ### NotEqual 30 31 % 7.91/8.08 33. ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e1)) = (e1)) ### Trans 32 30 % 7.91/8.08 34. (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e1) (e1)) = (e1)) ### ConjTree 33 % 7.91/8.08 35. ((e2) != (e2)) ### NotEqual % 7.91/8.08 36. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom % 7.91/8.08 37. ((op (e2) (op (e2) (e2))) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ### NotEqual 35 36 % 7.91/8.08 38. ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e2)) = (e2)) ### Trans 37 35 % 7.91/8.08 39. (((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) ((op (e2) (e2)) = (e2)) ### ConjTree 38 % 7.91/8.08 40. ((e3) != (e3)) ### NotEqual % 7.91/8.08 41. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 7.91/8.08 42. ((op (e3) (op (e3) (e3))) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ### NotEqual 40 41 % 7.91/8.08 43. ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e3)) = (e3)) ### Trans 42 40 % 7.91/8.08 44. (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 43 % 7.91/8.08 45. ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### DisjTree 29 34 39 44 % 7.91/8.08 46. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 20 24 45 % 7.91/8.08 47. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.91/8.08 48. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.91/8.08 49. ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 47 48 25 % 7.91/8.08 50. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.91/8.08 51. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.91/8.08 52. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 7.91/8.08 53. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 50 51 52 % 7.91/8.08 54. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.08 55. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.08 56. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.91/8.08 57. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 54 55 56 % 7.91/8.08 58. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.91/8.08 59. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.91/8.08 60. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 7.91/8.08 61. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 58 59 60 % 7.91/8.08 62. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.91/8.08 63. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.91/8.08 64. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 62 63 25 % 7.91/8.08 65. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 7.91/8.08 66. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 7.91/8.08 67. ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 65 66 25 % 7.91/8.08 68. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 7.91/8.08 69. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 7.91/8.08 70. ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) = (e1)) ### TransEq 68 69 35 % 7.91/8.08 71. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 7.91/8.08 72. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 7.91/8.08 73. ((op (op (e2) (e2)) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e0)) ### NotEqual 72 35 % 7.91/8.08 74. ((op (op (e2) (e2)) (e2)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans 73 30 % 7.91/8.08 75. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 7.91/8.08 76. ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) != (op (e1) (e0))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) = (e1)) ### NotEqual 74 75 % 7.91/8.08 77. ((e3) != (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 76 40 % 7.91/8.08 78. ((e1) != (op (op (e2) (e2)) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 73 30 % 7.91/8.08 79. (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### DisjTree 71 77 78 % 7.91/8.08 80. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.08 81. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.08 82. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.91/8.08 83. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 80 81 82 % 7.91/8.08 84. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.91/8.08 85. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.91/8.08 86. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 7.91/8.08 87. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 84 85 86 % 7.91/8.08 88. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.08 89. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.08 90. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 7.91/8.08 91. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 88 89 90 % 7.91/8.08 92. (((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 (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 79 83 87 91 % 7.91/8.08 93. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 7.91/8.08 94. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 7.91/8.08 95. ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 93 94 30 % 7.91/8.08 96. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 7.91/8.08 97. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 7.91/8.08 98. ((e2) != (e3)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 96 97 35 % 7.91/8.08 99. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 7.91/8.08 100. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 7.91/8.08 101. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.91/8.08 102. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 99 100 101 % 7.91/8.08 103. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.08 104. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.08 105. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.91/8.08 106. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 103 104 105 % 7.91/8.08 107. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.08 108. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.08 109. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 7.91/8.08 110. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 107 108 109 % 7.91/8.08 111. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 102 61 106 110 % 7.91/8.08 112. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 92 95 98 111 % 7.91/8.08 113. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 7.91/8.08 114. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 7.91/8.08 115. ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e2)) ### TransEq 113 114 40 % 7.91/8.08 116. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 70 112 24 115 % 7.91/8.08 117. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 7.91/8.08 118. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 7.91/8.08 119. ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e0)) ### TransEq 117 118 35 % 7.91/8.08 120. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 70 106 119 115 % 7.91/8.08 121. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.91/8.08 122. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.91/8.08 123. ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ### TransEq 121 122 40 % 7.91/8.08 124. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 67 116 120 123 % 7.91/8.08 125. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.91/8.08 126. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.91/8.08 127. ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### TransEq 125 126 35 % 7.91/8.08 128. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.08 129. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.08 130. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 7.91/8.08 131. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq 128 129 130 % 7.91/8.08 132. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 7.91/8.08 133. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 7.91/8.08 134. ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 132 133 30 % 7.91/8.08 135. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 136. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 137. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.91/8.08 138. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 135 136 137 % 7.91/8.08 139. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 7.91/8.08 140. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 7.91/8.08 141. ((op (op (e3) (e3)) (e3)) != (op (e0) (e3))) ((op (e3) (e3)) = (e0)) ### NotEqual 140 40 % 7.91/8.08 142. ((op (op (e3) (e3)) (e3)) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans 141 30 % 7.91/8.08 143. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 7.91/8.08 144. ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) != (op (e1) (e0))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ### NotEqual 142 143 % 7.91/8.08 145. ((e2) != (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans-sym 144 35 % 7.91/8.08 146. ((e1) != (op (op (e3) (e3)) (e3))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans-sym 141 30 % 7.91/8.08 147. (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### DisjTree 139 145 146 % 7.91/8.08 148. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 149. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 150. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 7.91/8.08 151. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 148 149 150 % 7.91/8.08 152. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.08 153. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.08 154. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 7.91/8.08 155. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) = (e2)) ### TransEq 152 153 154 % 7.91/8.08 156. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.08 157. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.08 158. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 7.91/8.08 159. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 156 157 158 % 7.91/8.08 160. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ### DisjTree 147 151 155 159 % 7.91/8.08 161. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.91/8.08 162. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.91/8.08 163. ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 161 162 30 % 7.91/8.08 164. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.91/8.08 165. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.91/8.08 166. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.91/8.08 167. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 164 165 166 % 7.91/8.08 168. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 7.91/8.08 169. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 7.91/8.08 170. ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ### TransEq 168 169 40 % 7.91/8.08 171. (((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 (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 163 167 170 151 % 7.91/8.08 172. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 160 127 171 % 7.91/8.08 173. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.08 174. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.08 175. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.91/8.08 176. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 173 174 175 % 7.91/8.08 177. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 178. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 179. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 7.91/8.08 180. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq 177 178 179 % 7.91/8.08 181. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 172 176 180 % 7.91/8.08 182. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((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)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 92 95 98 181 % 7.91/8.08 183. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.08 184. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.08 185. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 7.91/8.08 186. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 183 184 185 % 7.91/8.08 187. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 124 134 182 186 % 7.91/8.08 188. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.91/8.08 189. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.91/8.08 190. ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ### TransEq 188 189 35 % 7.91/8.08 191. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 192. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.08 193. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 7.91/8.08 194. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) = (e0)) ### TransEq 191 192 193 % 7.91/8.08 195. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 7.91/8.08 196. ((op (op (e3) (e3)) (e3)) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans 141 35 % 7.91/8.08 197. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 7.91/8.08 198. ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) != (op (e2) (e0))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### NotEqual 196 197 % 7.91/8.08 199. ((e1) != (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans-sym 198 30 % 7.91/8.08 200. ((e2) != (op (op (e3) (e3)) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans-sym 141 35 % 7.91/8.08 201. (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) ### DisjTree 195 199 200 % 7.91/8.08 202. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 194 151 201 180 % 7.91/8.08 203. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) ((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 (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 163 167 170 202 % 7.91/8.08 204. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e1) (e3)) = (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 187 190 203 % 7.91/8.08 205. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 92 95 98 204 % 7.91/8.08 206. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 124 131 205 186 % 7.91/8.08 207. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 124 127 206 % 7.91/8.08 208. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 7.91/8.08 209. ((op (e0) (op (e0) (e2))) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ### NotEqual 25 208 % 7.91/8.08 210. ((op (e0) (op (e0) (e2))) != (e2)) ((op (e0) (e2)) = (e2)) ### TransEq 209 35 35 % 7.91/8.08 211. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (op (e0) (e2))) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((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))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 207 210 176 % 7.91/8.09 212. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.09 213. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.09 214. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 7.91/8.09 215. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 212 213 214 % 7.91/8.09 216. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.09 217. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.09 218. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 7.91/8.09 219. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq 216 217 218 % 7.91/8.09 220. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.09 221. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.09 222. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 7.91/8.09 223. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq 220 221 222 % 7.91/8.09 224. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.09 225. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.09 226. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 227. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 224 225 226 % 7.91/8.09 228. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 7.91/8.09 229. ((op (e0) (op (e0) (e0))) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ### NotEqual 25 228 % 7.91/8.09 230. ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e1)) ### Trans 229 25 % 7.91/8.09 231. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 7.91/8.09 232. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 7.91/8.09 233. ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 231 232 25 % 7.91/8.09 234. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.09 235. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.09 236. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 7.91/8.09 237. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 234 235 236 % 7.91/8.09 238. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 239. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 240. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.91/8.09 241. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 238 239 240 % 7.91/8.09 242. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 7.91/8.09 243. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 7.91/8.09 244. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 242 243 25 % 7.91/8.09 245. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.91/8.09 246. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.91/8.09 247. ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 245 246 30 % 7.91/8.09 248. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (op (e0) (e2))) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 241 244 210 247 % 7.91/8.09 249. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (op (e0) (e2))) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 230 233 237 248 % 7.91/8.09 250. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 249 % 7.91/8.09 251. ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (e0)) ### Axiom % 7.91/8.09 252. ((op (e1) (op (e1) (e0))) != (op (e1) (e0))) ((op (e1) (e0)) = (e0)) ### NotEqual 30 251 % 7.91/8.09 253. ((op (e1) (op (e1) (e0))) != (e0)) ((op (e1) (e0)) = (e0)) ### TransEq 252 25 25 % 7.91/8.09 254. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 255. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 256. ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e0)) ### TransEq 254 255 35 % 7.91/8.09 257. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 258. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 259. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.91/8.09 260. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 257 258 259 % 7.91/8.09 261. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 7.91/8.09 262. ((op (e1) (op (e1) (e1))) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 30 261 % 7.91/8.09 263. ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) = (e2)) ### Trans 262 30 % 7.91/8.09 264. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.09 265. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.09 266. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 7.91/8.09 267. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 264 265 266 % 7.91/8.09 268. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.09 269. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.09 270. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.91/8.09 271. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 268 269 270 % 7.91/8.09 272. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.09 273. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.09 274. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 7.91/8.09 275. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq 272 273 274 % 7.91/8.09 276. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.91/8.09 277. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.91/8.09 278. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.91/8.09 279. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 276 277 278 % 7.91/8.09 280. (((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 (e1) (e3)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 271 275 279 % 7.91/8.09 281. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((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 (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 260 263 267 280 % 7.91/8.09 282. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.09 283. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.09 284. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.91/8.09 285. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 282 283 284 % 7.91/8.09 286. (((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 (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 285 271 275 279 % 7.91/8.09 287. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.09 288. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.09 289. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 7.91/8.09 290. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 287 288 289 % 7.91/8.09 291. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.91/8.09 292. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.91/8.09 293. ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 291 292 25 % 7.91/8.09 294. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 271 290 127 293 % 7.91/8.09 295. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.09 296. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.09 297. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.91/8.09 298. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq 295 296 297 % 7.91/8.09 299. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 194 294 298 279 % 7.91/8.09 300. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((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 (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 281 286 299 % 7.91/8.09 301. ((op (e0) (e1)) != (op (e0) (e3))) ((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 (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((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 (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 260 263 267 300 % 7.91/8.09 302. ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (e2)) ### Axiom % 7.91/8.09 303. ((op (e1) (op (e1) (e2))) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ### NotEqual 30 302 % 7.91/8.09 304. ((op (e1) (op (e1) (e2))) != (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 303 35 35 % 7.91/8.09 305. (((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) (op (e1) (e2))) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 260 263 304 275 % 7.91/8.09 306. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 241 244 301 305 % 7.91/8.09 307. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((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 (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 306 233 237 294 % 7.91/8.09 308. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (op (e1) (e0))) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 253 256 307 % 7.91/8.09 309. (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((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 (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 308 % 7.91/8.09 310. ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (e1)) ### Axiom % 7.91/8.09 311. ((op (e2) (op (e2) (e1))) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ### NotEqual 35 310 % 7.91/8.09 312. ((op (e2) (op (e2) (e1))) != (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 311 30 30 % 7.91/8.09 313. ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (e0)) ### Axiom % 7.91/8.09 314. ((op (e2) (op (e2) (e0))) != (op (e2) (e0))) ((op (e2) (e0)) = (e0)) ### NotEqual 35 313 % 7.91/8.09 315. ((op (e2) (op (e2) (e0))) != (e0)) ((op (e2) (e0)) = (e0)) ### TransEq 314 25 25 % 7.91/8.09 316. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.09 317. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.09 318. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 7.91/8.09 319. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 316 317 318 % 7.91/8.09 320. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 7.91/8.09 321. ((op (e2) (op (e2) (e2))) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 35 320 % 7.91/8.09 322. ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e0)) ### Trans 321 35 % 7.91/8.09 323. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 324. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 325. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.91/8.09 326. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 323 324 325 % 7.91/8.09 327. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.09 328. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.09 329. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.91/8.09 330. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 327 328 329 % 7.91/8.09 331. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 7.91/8.09 332. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 7.91/8.09 333. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.91/8.09 334. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 331 332 333 % 7.91/8.09 335. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.09 336. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.09 337. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 7.91/8.09 338. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 335 336 337 % 7.91/8.09 339. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.09 340. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.09 341. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 7.91/8.09 342. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 339 340 341 % 7.91/8.09 343. (((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 (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 285 342 275 279 % 7.91/8.09 344. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.91/8.09 345. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.91/8.09 346. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 7.91/8.09 347. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 344 345 346 % 7.91/8.09 348. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((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 (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 334 338 343 347 % 7.91/8.09 349. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((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 (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 127 326 330 348 % 7.91/8.09 350. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((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)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (op (e2) (e0))) != (e0)) ### DisjTree 315 319 322 349 % 7.91/8.09 351. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (op (e2) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((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 (e0) (e3)) != (op (e1) (e3))) ((op (e0) (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 (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (op (e2) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 233 12 312 350 % 7.91/8.09 352. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.91/8.09 353. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.91/8.09 354. ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) ### TransEq 352 353 30 % 7.91/8.09 355. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 356. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 357. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.91/8.09 358. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 355 356 357 % 7.91/8.09 359. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 354 322 358 % 7.91/8.09 360. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (op (e2) (e1))) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (op (e2) (e0))) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 351 315 359 % 7.91/8.09 361. (((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((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 (e0) (e3)) != (op (e1) (e3))) ((op (e0) (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 (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 360 % 7.91/8.09 362. ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((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 (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (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) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((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 (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ### DisjTree 250 309 361 44 % 7.91/8.09 363. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (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) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (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 (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 223 227 362 % 7.91/8.09 364. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.91/8.09 365. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.91/8.09 366. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 367. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 364 365 366 % 7.91/8.09 368. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 4 % 7.91/8.09 369. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 4 % 7.91/8.09 370. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 8 % 7.91/8.09 371. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ### ConjTree 370 % 7.91/8.09 372. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 16 % 7.91/8.09 373. ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ### ConjTree 372 % 7.91/8.09 374. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.09 375. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.09 376. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 7.91/8.09 377. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 374 375 376 % 7.91/8.09 378. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 377 % 7.91/8.09 379. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 20 % 7.91/8.09 380. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 223 % 7.91/8.09 381. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 7.91/8.09 382. ((op (e0) (op (e0) (e3))) != (op (e0) (e3))) ((op (e0) (e3)) = (e3)) ### NotEqual 25 381 % 7.91/8.09 383. ((op (e0) (op (e0) (e3))) != (e3)) ((op (e0) (e3)) = (e3)) ### TransEq 382 40 40 % 7.91/8.09 384. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 7.91/8.09 385. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 7.91/8.09 386. ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 384 385 30 % 7.91/8.09 387. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 388. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 389. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 390. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 387 388 389 % 7.91/8.09 391. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.09 392. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.91/8.09 393. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.91/8.09 394. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 391 392 393 % 7.91/8.09 395. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ### DisjTree 319 326 390 394 % 7.91/8.09 396. (((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) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (op (e0) (e3))) != (e3)) ### DisjTree 383 386 395 159 % 7.91/8.09 397. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e0) (op (e0) (e3))) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((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))))) ### ConjTree 396 % 7.91/8.09 398. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 7.91/8.09 399. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 7.91/8.09 400. ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 398 399 25 % 7.91/8.09 401. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((e0) != (e2)) ### ConjTree 400 % 7.91/8.09 402. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.09 403. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 367 % 7.91/8.09 404. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 227 % 7.91/8.09 405. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 7.91/8.09 406. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 7.91/8.09 407. ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e0)) ### TransEq 405 406 40 % 7.91/8.09 408. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 407 % 7.91/8.09 409. ((e0) != (e3)) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ### ConjTree 408 % 7.91/8.09 410. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ### ConjTree 386 % 7.91/8.09 411. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 219 % 7.91/8.09 412. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 159 % 7.91/8.09 413. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 4 % 7.91/8.09 414. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### ConjTree 233 % 7.91/8.09 415. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 377 % 7.91/8.09 416. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 219 % 7.91/8.09 417. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 377 % 7.91/8.09 418. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 20 % 7.91/8.09 419. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 12 % 7.91/8.09 420. ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ### ConjTree 419 % 7.91/8.09 421. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 20 % 7.91/8.09 422. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e0) (op (e0) (e2))) != (e2)) ### ConjTree 210 % 7.91/8.09 423. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 7.91/8.09 424. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 7.91/8.09 425. ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) ### TransEq 423 424 35 % 7.91/8.09 426. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ### ConjTree 425 % 7.91/8.09 427. ((e1) != (e2)) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ### ConjTree 426 % 7.91/8.09 428. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 367 % 7.91/8.09 429. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 227 % 7.91/8.09 430. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 407 % 7.91/8.09 431. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 7.91/8.09 432. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 12 % 7.91/8.09 433. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 434. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 435. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 436. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 433 434 435 % 7.91/8.09 437. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.91/8.09 438. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.91/8.09 439. ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) ### TransEq 437 438 40 % 7.91/8.09 440. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 230 290 436 439 % 7.91/8.09 441. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 440 % 7.91/8.09 442. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 223 % 7.91/8.09 443. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 227 % 7.91/8.09 444. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 7.91/8.09 445. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 7.91/8.09 446. ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 444 445 30 % 7.91/8.09 447. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ### ConjTree 446 % 7.91/8.09 448. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 24 % 7.91/8.09 449. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 215 % 7.91/8.09 450. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 451. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 452. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 7.91/8.09 453. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq 450 451 452 % 7.91/8.09 454. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 7.91/8.09 455. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 456. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 457. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 7.91/8.09 458. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq 455 456 457 % 7.91/8.09 459. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 458 % 7.91/8.09 460. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 461. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 462. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 7.91/8.09 463. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 460 461 462 % 7.91/8.09 464. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 463 % 7.91/8.09 465. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 7.91/8.09 466. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 7.91/8.09 467. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 7.91/8.09 468. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 407 % 7.91/8.09 469. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 12 % 7.91/8.09 470. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 12 % 7.91/8.09 471. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 223 % 7.91/8.09 472. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 227 % 7.91/8.09 473. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 24 % 7.91/8.09 474. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.09 475. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.91/8.09 476. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 7.91/8.09 477. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 474 475 476 % 7.91/8.09 478. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.09 479. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.09 480. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 7.91/8.09 481. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq-sym 478 479 480 % 7.91/8.09 482. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ### DisjTree 477 326 481 453 % 7.91/8.09 483. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 482 % 7.91/8.09 484. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 223 % 7.91/8.09 485. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 7.91/8.09 486. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 458 % 7.91/8.09 487. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 463 % 7.91/8.09 488. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 4 % 7.91/8.09 489. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 227 % 7.91/8.09 490. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((e0) != (e2)) ### ConjTree 400 % 7.91/8.09 491. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 407 % 7.91/8.09 492. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ### ConjTree 446 % 7.91/8.09 493. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 494. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 495. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 7.91/8.09 496. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 493 494 495 % 7.91/8.09 497. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 496 % 7.91/8.09 498. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 16 % 7.91/8.09 499. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 16 % 7.91/8.09 500. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 16 % 7.91/8.09 501. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ### ConjTree 425 % 7.91/8.09 502. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.09 503. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 504. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.09 505. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 7.91/8.09 506. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq 503 504 505 % 7.91/8.09 507. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 506 % 7.91/8.09 508. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 496 % 7.91/8.09 509. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.91/8.09 510. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.91/8.09 511. ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 509 510 25 % 7.91/8.09 512. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 511 % 7.91/8.09 513. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ### ConjTree 425 % 7.91/8.09 514. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.09 515. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ### ConjTree 446 % 7.91/8.09 516. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 506 % 7.91/8.09 517. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 496 % 7.91/8.09 518. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 511 % 7.91/8.09 519. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.09 520. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.09 521. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.09 522. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ### ConjTree 446 % 7.91/8.09 523. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ### ConjTree 425 % 7.91/8.09 524. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 223 % 7.91/8.09 525. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.09 526. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 506 % 7.91/8.09 527. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 506 % 7.91/8.09 528. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 496 % 7.91/8.09 529. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 511 % 7.91/8.09 530. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 7.91/8.09 531. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 458 % 7.91/8.09 532. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 463 % 7.91/8.09 533. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 511 % 7.91/8.09 534. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 511 % 7.91/8.09 535. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 511 % 7.91/8.09 536. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 407 % 7.91/8.09 537. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 7.91/8.09 538. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 7.91/8.09 539. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 7.91/8.09 540. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 7.91/8.09 541. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 458 % 7.91/8.09 542. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 458 % 7.91/8.09 543. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 458 % 7.91/8.09 544. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 458 % 7.91/8.09 545. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 463 % 7.91/8.09 546. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 7.91/8.09 547. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 458 % 7.91/8.09 548. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 463 % 7.91/8.09 549. ((((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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 498 499 500 430 431 432 501 442 502 447 507 508 512 454 459 464 465 466 467 468 469 470 513 471 514 515 516 517 518 485 486 487 519 520 521 491 492 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 % 7.91/8.09 550. 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(e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) 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= (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### DisjTree 549 223 496 463 % 7.91/8.09 551. 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((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### ConjTree 550 % 7.91/8.09 552. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 367 % 7.91/8.09 553. ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ### ConjTree 526 % 7.91/8.09 554. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 555. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 556. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 7.91/8.09 557. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 554 555 556 % 7.91/8.09 558. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.91/8.09 559. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.91/8.09 560. ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 558 559 25 % 7.91/8.09 561. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.91/8.09 562. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.91/8.09 563. ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 561 562 30 % 7.91/8.09 564. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (op (e0) (e3))) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 557 560 563 383 % 7.91/8.09 565. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.09 566. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.09 567. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.91/8.09 568. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 565 566 567 % 7.91/8.09 569. (((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) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (op (e0) (e3))) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 230 233 564 568 % 7.91/8.09 570. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (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))))) ### ConjTree 569 % 7.91/8.09 571. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 7.91/8.09 572. ((op (e1) (op (e1) (e1))) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 30 571 % 7.91/8.09 573. ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) = (e3)) ### Trans 572 30 % 7.91/8.09 574. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 575. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 576. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 7.91/8.09 577. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) = (e0)) ### TransEq-sym 574 575 576 % 7.91/8.09 578. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 579. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 580. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 7.91/8.09 581. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 578 579 580 % 7.91/8.09 582. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.91/8.09 583. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.91/8.09 584. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 585. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 582 583 584 % 7.91/8.09 586. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 587. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 588. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 589. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 586 587 588 % 7.91/8.09 590. (((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)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 581 585 367 589 % 7.91/8.09 591. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 592. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.91/8.09 593. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.91/8.09 594. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 591 592 593 % 7.91/8.09 595. (((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)) != (op (e2) (e0))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ### DisjTree 594 585 367 589 % 7.91/8.09 596. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((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)) ((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)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 577 590 119 595 % 7.91/8.09 597. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.91/8.09 598. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 7.91/8.09 599. ((op (op (e0) (e0)) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) ### NotEqual 598 25 % 7.91/8.09 600. ((op (op (e0) (e0)) (e0)) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans 599 35 % 7.91/8.09 601. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 7.91/8.09 602. ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ### NotEqual 600 601 % 7.91/8.09 603. ((e3) != (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) ((op (e2) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 602 40 % 7.91/8.09 604. ((e2) != (op (op (e0) (e0)) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 599 35 % 7.91/8.09 605. (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### DisjTree 597 603 604 % 7.91/8.09 606. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 607. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.91/8.09 608. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 7.91/8.09 609. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 606 607 608 % 7.91/8.09 610. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (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)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 596 377 605 609 % 7.91/8.09 611. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((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)) ((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)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (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) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 560 573 610 453 % 7.91/8.09 612. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 613. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.91/8.09 614. ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 612 613 25 % 7.91/8.09 615. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 377 614 439 % 7.91/8.09 616. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (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 (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 611 233 615 568 % 7.91/8.09 617. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (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))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (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) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (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) (op (e1) (e0))) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 253 616 407 % 7.91/8.09 618. (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (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 (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 617 % 7.91/8.09 619. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.91/8.09 620. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.91/8.09 621. ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ### TransEq 619 620 30 % 7.91/8.09 622. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 7.91/8.09 623. ((op (e3) (op (e3) (e3))) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) ### NotEqual 40 622 % 7.91/8.09 624. ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) = (e0)) ### Trans 623 40 % 7.91/8.09 625. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((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))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 621 595 624 % 7.91/8.09 626. ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (e1)) ### Axiom % 7.91/8.09 627. ((op (e3) (op (e3) (e1))) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ### NotEqual 40 626 % 7.91/8.09 628. ((op (e3) (op (e3) (e1))) != (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 627 30 30 % 7.91/8.09 629. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.09 630. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.09 631. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 7.91/8.09 632. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 629 630 631 % 7.91/8.09 633. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.09 634. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.91/8.09 635. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 7.91/8.09 636. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 633 634 635 % 7.91/8.09 637. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 439 628 632 636 % 7.91/8.09 638. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (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 (e2) (e0)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 625 233 637 568 % 7.91/8.09 639. (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (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))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 638 % 7.91/8.09 640. ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((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 (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (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) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ### DisjTree 570 618 39 639 % 7.91/8.10 641. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((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)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((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 (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (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) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 640 24 463 % 7.91/8.10 642. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (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 (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (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) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (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) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### ConjTree 641 % 7.91/8.10 643. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 24 % 7.91/8.10 644. ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ### ConjTree 643 % 7.91/8.10 645. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (op (e0) (e3))) != (e3)) ### ConjTree 383 % 7.91/8.10 646. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 4 % 7.91/8.10 647. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (op (e0) (e3))) != (e3)) ### ConjTree 383 % 7.91/8.10 648. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 215 % 7.91/8.10 649. ((op (e0) (op (e0) (e3))) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((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)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ 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(e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 368 369 371 430 431 432 441 442 443 447 448 449 408 454 459 464 465 466 467 468 469 470 420 471 472 427 473 483 484 485 486 487 488 489 490 491 492 497 551 524 552 553 642 644 645 530 531 532 646 647 648 536 537 538 539 540 541 542 543 544 545 546 547 548 % 7.91/8.10 650. 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(e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ### ConjTree 649 % 7.91/8.10 651. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (op (e1) (e0))) != (e0)) ### ConjTree 253 % 7.91/8.10 652. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e1) (op (e1) (e2))) != (e2)) ### ConjTree 304 % 7.91/8.10 653. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 244 263 425 481 % 7.91/8.10 654. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### ConjTree 653 % 7.91/8.10 655. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (op (e1) (e2))) != (e2)) ### ConjTree 304 % 7.91/8.10 656. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 496 % 7.91/8.10 657. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 244 263 656 481 % 7.91/8.10 658. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### ConjTree 657 % 7.91/8.10 659. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e1) (op (e1) (e0))) != (e0)) ### ConjTree 253 % 7.91/8.10 660. ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((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)) = (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 (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) 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(e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ### ConjTree 660 % 7.91/8.10 662. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e2) (op (e2) (e0))) != (e0)) ### ConjTree 315 % 7.91/8.10 663. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e2) (op (e2) (e1))) != (e1)) ### ConjTree 312 % 7.91/8.10 664. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (op (e2) (e0))) != (e0)) ### ConjTree 315 % 7.91/8.10 665. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (op (e2) (e0))) != (e0)) ### ConjTree 315 % 7.91/8.10 666. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e2) (op (e2) (e0))) != (e0)) ### ConjTree 315 % 7.91/8.10 667. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (op (e2) (e1))) != (e1)) ### ConjTree 312 % 7.91/8.10 668. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.91/8.10 669. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.91/8.10 670. ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) = (e1)) ### TransEq 668 669 40 % 7.91/8.10 671. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 334 338 186 180 % 7.91/8.10 672. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 334 636 186 180 % 7.91/8.10 673. (((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)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((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)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 670 223 671 672 % 7.91/8.10 674. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e2) (op (e2) (e0))) != (e0)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 673 315 407 % 7.91/8.10 675. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((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)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((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)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e2) (op (e2) (e0))) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 674 % 7.91/8.10 676. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((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)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((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)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e2) (op (e2) (e0))) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 674 % 7.91/8.10 677. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 673 % 7.91/8.10 678. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e2) (op (e2) (e0))) != (e0)) ### ConjTree 315 % 7.91/8.10 679. ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)) = (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 (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ 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!= (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (op (e2) (e0))) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 368 369 662 430 431 432 663 442 443 664 448 665 408 454 459 464 465 466 666 468 469 470 420 471 472 427 473 667 675 485 486 487 488 489 490 491 492 497 551 524 552 553 642 644 676 530 531 532 646 677 678 536 537 538 539 540 541 542 543 544 545 546 547 548 % 7.91/8.10 680. 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(e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) 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(e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (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) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ### ConjTree 679 % 7.91/8.10 681. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 334 190 624 % 7.91/8.10 682. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 681 % 7.91/8.10 683. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 681 % 7.91/8.10 684. ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) != (e2)) ### Axiom % 7.91/8.10 685. ((op (e3) (op (e3) (e2))) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ### NotEqual 40 684 % 7.91/8.10 686. ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 685 35 35 % 7.91/8.10 687. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e3) (op (e3) (e2))) != (e2)) ### ConjTree 686 % 7.91/8.10 688. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e3) (op (e3) (e2))) != (e2)) ### ConjTree 686 % 7.91/8.10 689. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e3) (op (e3) (e1))) != (e1)) ### ConjTree 628 % 7.91/8.10 690. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e3) (op (e3) (e2))) != (e2)) ### ConjTree 686 % 7.91/8.10 691. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ### ConjTree 686 % 7.91/8.10 692. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 511 334 190 624 % 7.91/8.10 693. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 692 % 7.91/8.10 694. 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(e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 697 641 458 % 7.91/8.11 699. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.11 700. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.11 701. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 7.91/8.11 702. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq 699 700 701 % 7.91/8.11 703. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 7.91/8.11 704. ((op (e0) (op (e0) (e0))) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ### NotEqual 25 703 % 7.91/8.11 705. ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) = (e2)) ### Trans 704 25 % 7.91/8.11 706. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.91/8.11 707. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.91/8.11 708. ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 706 707 25 % 7.91/8.11 709. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.91/8.11 710. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.91/8.11 711. ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) ### TransEq 709 710 40 % 7.91/8.11 712. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 705 708 227 711 % 7.91/8.11 713. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.91/8.11 714. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.91/8.11 715. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 7.91/8.11 716. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 713 714 715 % 7.91/8.11 717. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 8 % 7.91/8.11 718. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 215 % 7.91/8.11 719. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 215 % 7.91/8.11 720. (((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) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 705 106 390 711 % 7.91/8.11 721. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 720 % 7.91/8.11 722. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 8 % 7.91/8.11 723. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 215 % 7.91/8.11 724. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.91/8.11 725. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.91/8.11 726. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 7.91/8.11 727. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 724 725 726 % 7.91/8.11 728. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.11 729. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.91/8.11 730. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 7.91/8.11 731. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 728 729 730 % 7.91/8.11 732. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.11 733. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.11 734. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.91/8.11 735. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 732 733 734 % 7.91/8.11 736. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 727 731 735 % 7.91/8.11 737. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### ConjTree 736 % 7.91/8.11 738. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 377 % 7.91/8.11 739. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 20 % 7.91/8.11 740. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.11 741. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.11 742. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.91/8.11 743. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 740 741 742 % 7.91/8.11 744. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.91/8.11 745. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.91/8.11 746. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 7.91/8.11 747. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 744 745 746 % 7.91/8.11 748. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.11 749. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.91/8.11 750. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 7.91/8.11 751. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 748 749 750 % 7.91/8.11 752. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 743 747 751 458 % 7.91/8.11 753. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### ConjTree 752 % 7.91/8.11 754. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 8 % 7.91/8.11 755. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 215 % 7.91/8.11 756. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.11 757. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.91/8.11 758. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 7.91/8.11 759. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 756 757 758 % 7.91/8.11 760. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ### DisjTree 594 338 496 759 % 7.91/8.11 761. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ### ConjTree 760 % 7.91/8.11 762. ((((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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ### DisjTree 717 718 370 430 378 379 501 719 502 721 507 508 408 454 459 464 722 723 415 468 417 418 513 421 514 426 516 517 737 485 486 487 519 520 521 491 738 739 523 753 525 526 527 528 656 530 531 532 754 755 761 536 537 538 539 540 541 542 543 544 545 546 547 548 % 7.91/8.11 763. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 762 % 7.91/8.11 764. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.91/8.11 765. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.91/8.11 766. ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 764 765 35 % 7.91/8.11 767. (((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) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 735 573 766 453 % 7.91/8.11 768. 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(((op (e2) (e2)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 769 % 7.91/8.11 771. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 7.91/8.11 772. ((op (e2) (op (e2) (e2))) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 35 771 % 7.91/8.11 773. ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e1)) ### Trans 772 35 % 7.91/8.11 774. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 67 223 773 747 % 7.91/8.11 775. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### ConjTree 774 % 7.91/8.11 776. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### ConjTree 774 % 7.91/8.11 777. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### ConjTree 774 % 7.91/8.11 778. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 67 524 773 747 % 7.91/8.11 779. ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### ConjTree 778 % 7.91/8.11 780. 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(e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 780 % 7.91/8.11 782. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 621 594 624 % 7.91/8.11 783. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 782 % 7.91/8.11 784. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) ### ConjTree 628 % 7.91/8.11 785. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 782 % 7.91/8.11 786. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 782 % 7.91/8.11 787. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) ### ConjTree 628 % 7.91/8.11 788. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) ### ConjTree 628 % 7.91/8.11 789. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ### DisjTree 535 621 594 624 % 7.91/8.11 790. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 789 % 7.91/8.11 791. ((((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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = 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(e2)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ 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(((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 791 % 7.91/8.11 793. 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(e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. 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(e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 797 61 614 439 % 7.91/8.12 799. 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(e3)) = (e0))))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 799 % 7.91/8.12 801. 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(e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 802 % 7.91/8.13 804. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.91/8.13 805. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.91/8.13 806. ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 804 805 25 % 7.91/8.13 807. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 7.91/8.13 808. ((op (e2) (op (e2) (e2))) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 35 807 % 7.91/8.13 809. ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) = (e3)) ### Trans 808 35 % 7.91/8.13 810. (((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) (e3)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 806 98 809 458 % 7.91/8.13 811. 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(((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (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))) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((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) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 812 % 7.91/8.13 814. 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(e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 814 798 407 % 7.91/8.13 816. 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(e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 20 817 463 % 7.91/8.13 819. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 61 614 439 % 7.91/8.13 820. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.91/8.13 821. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.91/8.13 822. ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 820 821 25 % 7.91/8.13 823. 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(e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 823 590 119 285 % 7.91/8.13 825. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 7.91/8.13 826. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 7.91/8.13 827. ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 825 826 35 % 7.91/8.13 828. (((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)) = (e2)) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 563 98 827 458 % 7.91/8.13 829. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 7.91/8.13 830. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 7.91/8.13 831. ((op (op (e3) (e3)) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e1)) ### NotEqual 830 40 % 7.91/8.13 832. ((op (op (e3) (e3)) (e3)) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans 831 35 % 7.91/8.13 833. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 7.91/8.13 834. ((op (op (op (e3) (e3)) (e3)) (op (e3) (e3))) != (op (e2) (e1))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ### NotEqual 832 833 % 7.91/8.13 835. ((e0) != (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 834 25 % 7.91/8.13 836. ((e2) != (op (op (e3) (e3)) (e3))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 831 35 % 7.91/8.13 837. (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### DisjTree 829 835 836 % 7.91/8.13 838. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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 439 167 632 837 % 7.91/8.13 839. (((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)) = (e2)) ((e0) != (e2)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 614 838 119 285 % 7.91/8.13 840. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (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))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((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) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 708 134 828 839 % 7.91/8.13 841. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((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)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((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 (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((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) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 61 840 439 % 7.91/8.13 842. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e2)) != 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!= (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 842 823 407 % 7.91/8.13 844. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. 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= (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((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)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 843 20 24 463 % 7.91/8.14 845. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 818 12 844 458 % 7.91/8.14 846. 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(e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 846 % 7.91/8.14 848. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ### ConjTree 386 % 7.91/8.14 849. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### ConjTree 395 % 7.91/8.14 850. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 159 % 7.91/8.14 851. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.14 852. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.14 853. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 7.91/8.14 854. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 851 852 853 % 7.91/8.14 855. (((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 (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 102 223 267 854 % 7.91/8.14 856. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### ConjTree 855 % 7.91/8.14 857. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (op (e0) (e2))) != (e2)) ### ConjTree 210 % 7.91/8.14 858. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.14 859. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ### ConjTree 446 % 7.91/8.14 860. ((e1) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ### ConjTree 859 % 7.91/8.14 861. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.14 862. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 367 % 7.91/8.14 863. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 227 % 7.91/8.14 864. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 7.91/8.14 865. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 7.91/8.14 866. ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 864 865 35 % 7.91/8.14 867. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ### ConjTree 866 % 7.91/8.14 868. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 159 % 7.91/8.14 869. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### ConjTree 256 % 7.91/8.14 870. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 511 % 7.91/8.14 871. ((e0) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ### ConjTree 870 % 7.91/8.14 872. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 377 % 7.91/8.14 873. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.91/8.14 874. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.91/8.14 875. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 7.91/8.14 876. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq 873 874 875 % 7.91/8.14 877. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 7.91/8.14 878. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 223 % 7.91/8.14 879. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ### ConjTree 386 % 7.91/8.14 880. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e0) (op (e0) (e2))) != (e2)) ### ConjTree 210 % 7.91/8.14 881. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 390 % 7.91/8.14 882. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 367 % 7.91/8.14 883. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ### ConjTree 866 % 7.91/8.14 884. ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ### ConjTree 545 % 7.91/8.14 885. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.91/8.14 886. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.91/8.14 887. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 7.91/8.14 888. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 885 886 887 % 7.91/8.14 889. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 888 % 7.91/8.14 890. ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ### ConjTree 889 % 7.91/8.14 891. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 159 % 7.91/8.14 892. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 159 % 7.91/8.14 893. ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = 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(e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (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) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 893 % 7.91/8.14 895. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (op (e1) (e0))) != (e0)) ### ConjTree 253 % 7.91/8.14 896. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 223 % 7.91/8.14 897. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 285 568 298 759 % 7.91/8.14 898. (((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) (e2)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 194 271 298 759 % 7.91/8.14 899. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e2)) ((op (e2) (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 219 621 897 898 % 7.91/8.14 900. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.91/8.14 901. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.91/8.14 902. ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 900 901 25 % 7.91/8.14 903. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.91/8.14 904. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.91/8.14 905. ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 903 904 30 % 7.91/8.14 906. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.91/8.14 907. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.91/8.14 908. ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e1)) ### TransEq 906 907 35 % 7.91/8.14 909. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.14 910. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.14 911. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.91/8.14 912. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 909 910 911 % 7.91/8.14 913. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.14 914. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.14 915. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 7.91/8.14 916. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 913 914 915 % 7.91/8.14 917. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.14 918. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.91/8.14 919. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.91/8.14 920. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 917 918 919 % 7.91/8.14 921. (((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 (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 912 57 916 920 % 7.91/8.14 922. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (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) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 897 304 908 921 % 7.91/8.14 923. (((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)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (op (e1) (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 (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 127 905 922 338 % 7.91/8.14 924. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.14 925. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.91/8.14 926. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 7.91/8.14 927. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 924 925 926 % 7.91/8.14 928. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 377 127 293 % 7.91/8.14 929. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 927 928 897 920 % 7.91/8.14 930. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (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) (e0)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (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 (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (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 (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 923 929 358 % 7.91/8.14 931. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (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 (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 57 898 920 % 7.91/8.14 932. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (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)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (op (e1) (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 (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 902 621 930 931 % 7.91/8.14 933. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (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 (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (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 (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 560 573 932 876 % 7.91/8.14 934. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (op (e1) (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 (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((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 (e2) (e3)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 241 244 899 933 % 7.91/8.14 935. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (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))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((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 (e1) (op (e1) (e2))) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 934 727 928 568 % 7.91/8.14 936. 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(((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 219 % 7.91/8.14 939. 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(e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 846 % 7.91/8.14 940. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 20 % 7.91/8.14 941. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 899 233 70 568 % 7.91/8.14 942. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (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))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 941 % 7.91/8.14 943. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (op (e1) (e2))) != (e2)) ((e0) != (e2)) ((op (e1) (op (e1) (e0))) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 368 369 371 373 378 379 651 895 401 652 403 449 409 410 411 412 413 414 415 416 417 418 420 421 896 427 428 429 847 848 937 850 488 856 490 938 738 739 860 655 552 553 862 644 939 863 867 868 646 659 648 871 872 940 878 879 942 881 882 883 884 890 891 892 % 7.91/8.15 944. 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(e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 943 % 7.91/8.15 945. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ### DisjTree 719 102 322 123 % 7.91/8.15 946. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### ConjTree 945 % 7.91/8.15 947. ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (e3)) ### Axiom % 7.91/8.15 948. ((op (e2) (op (e2) (e3))) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ### NotEqual 35 947 % 7.91/8.15 949. ((op (e2) (op (e2) (e3))) != (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 948 40 40 % 7.91/8.15 950. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e2) (op (e2) (e3))) != (e3)) ### ConjTree 949 % 7.91/8.15 951. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (op (e2) (e1))) != (e1)) ### ConjTree 312 % 7.91/8.15 952. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e2) (op (e2) (e3))) != (e3)) ### ConjTree 949 % 7.91/8.15 953. 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(e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### ConjTree 698 % 7.91/8.15 954. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e2) (op (e2) (e1))) != (e1)) ### ConjTree 312 % 7.91/8.15 955. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (op (e2) (e3))) != (e3)) ### ConjTree 949 % 7.91/8.15 956. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 956 % 7.91/8.15 958. ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (e0)) ### Axiom % 7.91/8.15 959. ((op (e3) (op (e3) (e0))) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ### NotEqual 40 958 % 7.91/8.15 960. ((op (e3) (op (e3) (e0))) != (e0)) ((op (e3) (e0)) = (e0)) ### TransEq 959 25 25 % 7.91/8.15 961. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ### ConjTree 960 % 7.91/8.15 962. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e0))) != (e0)) ### ConjTree 960 % 7.91/8.15 963. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ### ConjTree 960 % 7.91/8.15 964. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 855 256 960 % 7.91/8.15 965. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((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 (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 964 % 7.91/8.15 966. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e1))) != (e1)) ### ConjTree 628 % 7.91/8.15 967. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ### ConjTree 960 % 7.91/8.15 968. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ### ConjTree 686 % 7.91/8.15 969. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 511 621 594 624 % 7.91/8.15 970. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 969 % 7.91/8.15 971. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((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 (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 964 % 7.91/8.15 972. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((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)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != 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(e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 368 369 371 961 378 379 380 784 401 402 403 449 409 410 962 412 413 414 415 963 417 418 420 421 965 427 428 688 689 848 966 850 488 856 490 967 738 739 860 788 552 553 862 690 691 968 867 868 646 953 970 871 872 940 878 879 971 881 882 883 884 890 891 892 % 7.91/8.15 973. 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(((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((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))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((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 (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (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) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (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) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 363 367 975 % 8.00/8.16 977. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.00/8.16 978. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.00/8.16 979. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 977 978 25 % 8.00/8.16 980. (((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 (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 979 95 98 347 % 8.00/8.16 981. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 8.00/8.16 982. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 8.00/8.16 983. ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 981 982 35 % 8.00/8.16 984. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 8.00/8.16 985. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 8.00/8.16 986. ((op (op (e2) (e2)) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) ### NotEqual 985 35 % 8.00/8.16 987. ((op (op (e2) (e2)) (e2)) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans 986 40 % 8.00/8.16 988. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 8.00/8.16 989. ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) ### NotEqual 987 988 % 8.00/8.16 990. ((e0) != (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 989 25 % 8.00/8.16 991. ((e3) != (op (op (e2) (e2)) (e2))) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 986 40 % 8.00/8.16 992. (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### DisjTree 984 990 991 % 8.00/8.16 993. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.00/8.16 994. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.00/8.16 995. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 8.00/8.16 996. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 993 994 995 % 8.00/8.16 997. (((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 (e3) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 992 167 481 996 % 8.00/8.16 998. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 400 98 367 997 % 8.00/8.16 999. (((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 (e1) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 342 275 279 % 8.00/8.16 1000. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.00/8.16 1001. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.00/8.16 1002. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 8.00/8.16 1003. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 1000 1001 1002 % 8.00/8.16 1004. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 8.00/8.16 1005. ((op (op (e0) (e0)) (e0)) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans 599 40 % 8.00/8.16 1006. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 8.00/8.16 1007. ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ### NotEqual 1005 1006 % 8.00/8.16 1008. ((e2) != (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 1007 35 % 8.00/8.16 1009. ((e3) != (op (op (e0) (e0)) (e0))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 599 40 % 8.00/8.16 1010. (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### DisjTree 1004 1008 1009 % 8.00/8.16 1011. (((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 (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e3) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1010 95 98 347 % 8.00/8.16 1012. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 8.00/8.16 1013. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 8.00/8.16 1014. ((e2) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e2)) ### TransEq 1012 1013 40 % 8.00/8.16 1015. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) = (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 (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 1003 1011 751 1014 % 8.00/8.16 1016. (((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) (e0)) != (op (e3) (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))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 260 134 1015 275 % 8.00/8.16 1017. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((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 (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 194 342 1016 279 % 8.00/8.16 1018. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (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 (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 999 343 1017 % 8.00/8.16 1019. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((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 (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (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))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 585 716 998 1018 % 8.00/8.16 1020. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 702 % 8.00/8.16 1021. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 8.00/8.16 1022. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 888 % 8.00/8.16 1023. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 702 % 8.00/8.16 1024. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 8.00/8.16 1025. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 888 % 8.00/8.16 1026. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 8 % 8.00/8.16 1027. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 215 % 8.00/8.16 1028. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 702 % 8.00/8.16 1029. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 8.00/8.16 1030. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 888 % 8.00/8.16 1031. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 8.00/8.16 1032. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 8.00/8.16 1033. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 888 % 8.00/8.16 1034. ((op (e0) (op (e0) (e3))) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (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) (e1)) != (op (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) 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(e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 1034 % 8.00/8.16 1036. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### ConjTree 400 % 8.00/8.16 1037. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 453 % 8.00/8.16 1038. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 1041 % 8.00/8.17 1043. 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(e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 1044 % 8.00/8.17 1046. 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(e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) 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(((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 1046 227 888 % 8.00/8.17 1048. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 219 % 8.00/8.17 1049. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom % 8.00/8.17 1050. ((op (e0) (op (e0) (e0))) != (op (e0) (e3))) ((op (e0) (e0)) = (e3)) ### NotEqual 25 1049 % 8.00/8.17 1051. ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) = (e3)) ### Trans 1050 25 % 8.00/8.17 1052. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 8.00/8.17 1053. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 8.00/8.17 1054. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 1052 1053 35 % 8.00/8.17 1055. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 1051 110 1054 407 % 8.00/8.17 1056. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 1055 % 8.00/8.17 1057. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 8.00/8.17 1058. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 16 % 8.00/8.17 1059. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 219 % 8.00/8.17 1060. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.00/8.17 1061. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.00/8.17 1062. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 8.00/8.17 1063. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 1060 1061 1062 % 8.00/8.17 1064. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 358 1063 916 876 % 8.00/8.17 1065. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### ConjTree 1064 % 8.00/8.17 1066. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 8.00/8.17 1067. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 12 % 8.00/8.17 1068. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 8.00/8.17 1069. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 8.00/8.17 1070. ((e2) != (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 1068 1069 35 % 8.00/8.17 1071. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.00/8.17 1072. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.00/8.17 1073. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 8.00/8.17 1074. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 1071 1072 1073 % 8.00/8.17 1075. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.00/8.17 1076. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.00/8.17 1077. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 8.00/8.17 1078. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 1075 1076 1077 % 8.00/8.17 1079. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 285 1074 155 1078 % 8.00/8.17 1080. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 902 1070 227 1079 % 8.00/8.17 1081. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 1080 % 8.00/8.17 1082. ((((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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (op (e0) (e3))) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (op (e0) (e2))) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (op (e0) (e0))) != (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 498 499 500 372 431 432 1048 442 401 447 403 404 512 1056 1021 1022 465 466 467 1057 469 470 420 471 422 427 428 429 484 848 1024 1025 1058 1059 490 1065 492 522 859 524 552 553 862 644 645 863 1029 1030 533 647 535 870 1066 1067 1081 879 1031 881 882 883 884 889 1032 1033 % 8.00/8.17 1083. 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(((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 1082 % 8.02/8.17 1084. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 260 263 446 1070 % 8.02/8.17 1085. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### ConjTree 1084 % 8.02/8.17 1086. 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(((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 1089 % 8.02/8.17 1091. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 354 322 358 % 8.02/8.17 1092. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### ConjTree 1091 % 8.02/8.17 1093. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### ConjTree 1091 % 8.02/8.17 1094. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ### DisjTree 400 354 322 358 % 8.02/8.17 1095. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### ConjTree 1094 % 8.02/8.17 1096. 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(e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (op (e2) (e1))) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (op (e2) (e0))) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 498 499 662 1092 431 432 663 442 401 664 403 665 512 1093 1021 1022 465 466 666 1057 469 470 420 471 951 427 428 667 484 848 1024 1025 1058 1059 490 1095 492 522 859 524 552 553 862 644 529 863 1029 1030 533 534 678 870 1066 1067 954 879 1031 881 882 883 884 889 1032 1033 % 8.02/8.17 1097. 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(e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 1096 % 8.02/8.18 1098. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 8.02/8.18 1099. ((op (e3) (op (e3) (e3))) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ### NotEqual 40 1098 % 8.02/8.18 1100. ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) = (e1)) ### Trans 1099 40 % 8.02/8.18 1101. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 822 223 1074 1100 % 8.02/8.18 1102. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1101 % 8.02/8.18 1103. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1101 % 8.02/8.18 1104. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 822 386 1074 1100 % 8.02/8.18 1105. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1104 % 8.02/8.18 1106. ((((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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = 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(e2)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op 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(e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 1106 % 8.02/8.18 1108. 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= (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 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!= (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. 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!= (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 983 95 1019 1110 % 8.02/8.18 1112. 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(((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((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 (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 260 134 980 1112 % 8.02/8.18 1114. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((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))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (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 (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e2) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (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))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = 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(e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 241 1113 400 1016 % 8.02/8.19 1115. (((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))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e2) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 127 905 998 342 % 8.02/8.19 1116. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (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) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 983 95 1115 1110 % 8.02/8.19 1117. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 241 1117 400 247 % 8.02/8.19 1119. 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(((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (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) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((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 (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1114 53 67 1118 % 8.02/8.19 1120. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 271 61 127 293 % 8.02/8.19 1121. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((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 (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 1120 1016 279 % 8.02/8.19 1122. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (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 (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (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))) ((e2) != (e3)) ((e1) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1121 53 67 1120 % 8.02/8.19 1123. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((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))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (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 (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (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))))) (-. 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((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (-. 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(((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 20 227 1123 % 8.02/8.19 1125. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 1051 983 920 511 % 8.02/8.19 1126. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (op (e0) (e2))) != (e2)) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) (((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 241 1125 210 902 % 8.02/8.19 1127. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1126 % 8.02/8.19 1128. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 111 322 123 % 8.02/8.19 1129. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (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 (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 979 95 98 1128 % 8.02/8.19 1130. (((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 (e2) (op (e2) (e3))) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### DisjTree 511 110 949 159 % 8.02/8.19 1131. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (op (e2) (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 1130 95 854 1070 % 8.02/8.19 1132. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (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) (op (e2) (e3))) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (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 (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 708 134 1129 1131 % 8.02/8.19 1133. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 111 322 358 % 8.02/8.19 1134. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (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 (e1) (e0)) != (op (e1) (e2))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (op (e2) (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 1130 95 98 1133 % 8.02/8.19 1135. (((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)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (op (e2) (e3))) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((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)) != (op (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 (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 260 134 1134 1131 % 8.02/8.19 1136. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (op (e2) (e0))) != (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) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (op (e2) (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 (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 1132 315 1135 % 8.02/8.19 1137. (((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1136 % 8.02/8.19 1138. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 979 95 854 1070 % 8.02/8.19 1139. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 8.02/8.19 1140. ((op (e3) (op (e3) (e3))) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 40 1139 % 8.02/8.19 1141. ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) = (e2)) ### Trans 1140 40 % 8.02/8.19 1142. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 902 1138 227 1141 % 8.02/8.19 1143. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 1142 256 960 % 8.02/8.19 1144. (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((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))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1143 % 8.02/8.19 1145. ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) (((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 1127 34 1137 1144 % 8.02/8.19 1146. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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 (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ### DisjTree 1145 20 227 159 % 8.02/8.19 1147. ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (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 (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 (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (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))))) (-. 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(e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = 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(e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 976 1147 390 1110 % 8.02/8.20 1149. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 124 1148 163 % 8.02/8.20 1150. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (op (e0) (e2))) != (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) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 61 211 1149 % 8.02/8.20 1151. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 160 1148 163 % 8.02/8.20 1152. 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(e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. 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(((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((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) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 271 61 172 1151 % 8.02/8.20 1153. 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(op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 49 53 1150 1152 % 8.02/8.20 1154. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (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) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (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)) != (op (e0) (e2))) ### ConjTree 1153 % 8.02/8.20 1155. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 8.02/8.20 1156. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 8.02/8.20 1157. ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) ### TransEq 1155 1156 30 % 8.02/8.20 1158. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.02/8.20 1159. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.02/8.20 1160. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 8.02/8.20 1161. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 1158 1159 1160 % 8.02/8.20 1162. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.02/8.20 1163. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.02/8.20 1164. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 8.02/8.20 1165. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 1162 1163 1164 % 8.02/8.20 1166. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 1161 1074 24 1165 % 8.02/8.20 1167. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 194 342 275 279 % 8.02/8.20 1168. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ### DisjTree 594 1167 24 1165 % 8.02/8.20 1169. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ### DisjTree 247 1168 24 1014 % 8.02/8.20 1170. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((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 (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1166 636 1168 347 % 8.02/8.20 1171. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((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 (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1169 377 1074 1170 % 8.02/8.20 1172. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((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) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 1051 1166 594 1171 % 8.02/8.20 1173. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 8.02/8.20 1174. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 8.02/8.20 1175. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 1173 1174 30 % 8.02/8.20 1176. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.02/8.20 1177. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.02/8.20 1178. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 8.02/8.20 1179. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 1176 1177 1178 % 8.02/8.20 1180. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 8.02/8.20 1181. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 8.02/8.20 1182. ((op (op (e1) (e1)) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ### NotEqual 1181 30 % 8.02/8.20 1183. ((op (op (e1) (e1)) (e1)) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans 1182 40 % 8.02/8.20 1184. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 8.02/8.20 1185. ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) ### NotEqual 1183 1184 % 8.02/8.20 1186. ((e0) != (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) ((op (e3) (e2)) = (e0)) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 1185 25 % 8.02/8.20 1187. ((e3) != (op (op (e1) (e1)) (e1))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 1182 40 % 8.02/8.20 1188. (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) = (e3)) ((op (e3) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### DisjTree 1180 1186 1187 % 8.02/8.20 1189. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.02/8.20 1190. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.02/8.20 1191. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 8.02/8.20 1192. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 1189 1190 1191 % 8.02/8.20 1193. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((e0) != (e1)) ### ConjTree 233 % 8.02/8.20 1194. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 61 % 8.02/8.20 1195. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 8.02/8.20 1196. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 377 % 8.02/8.21 1197. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 496 % 8.02/8.21 1198. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 8.02/8.21 1199. ((e0) != (e1)) (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ### ConjTree 414 % 8.02/8.21 1200. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 215 % 8.02/8.21 1201. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ### ConjTree 53 % 8.02/8.21 1202. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 61 % 8.02/8.21 1203. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 20 % 8.02/8.21 1204. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 8.02/8.21 1205. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 377 % 8.02/8.21 1206. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 8.02/8.21 1207. ((op (e0) (op (e0) (e1))) != (op (e0) (e1))) ((op (e0) (e1)) = (e1)) ### NotEqual 25 1206 % 8.02/8.21 1208. ((op (e0) (op (e0) (e1))) != (e1)) ((op (e0) (e1)) = (e1)) ### TransEq 1207 30 30 % 8.02/8.21 1209. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (op (e0) (e1))) != (e1)) ### ConjTree 1208 % 8.02/8.21 1210. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 61 % 8.02/8.21 1211. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 377 % 8.02/8.21 1212. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 24 % 8.02/8.21 1213. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.02/8.21 1214. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.02/8.21 1215. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 8.02/8.21 1216. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 1213 1214 1215 % 8.02/8.21 1217. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 912 290 751 1216 % 8.02/8.21 1218. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (op (e0) (e3))) != (e3)) ### DisjTree 383 1217 866 888 % 8.02/8.21 1219. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e0) (op (e0) (e3))) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### ConjTree 1218 % 8.02/8.21 1220. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 702 % 8.02/8.21 1221. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.02/8.21 1222. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.02/8.21 1223. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 8.02/8.21 1224. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 1221 1222 1223 % 8.02/8.21 1225. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 581 1224 496 996 % 8.02/8.21 1226. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### ConjTree 1225 % 8.02/8.21 1227. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### ConjTree 1217 % 8.02/8.21 1228. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((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)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) 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(e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 846 % 8.02/8.21 1229. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (op (e0) (e1))) != (e1)) ### ConjTree 1208 % 8.02/8.21 1230. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 61 % 8.02/8.21 1231. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 290 % 8.02/8.21 1232. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 496 % 8.02/8.21 1233. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 8.02/8.21 1234. ((op (e0) (op (e0) (e1))) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. 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(e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 1234 % 8.02/8.21 1236. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 8.02/8.21 1237. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 8.02/8.21 1238. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 8.02/8.21 1239. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 1236 1237 1238 % 8.02/8.21 1240. ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (e3)) ### Axiom % 8.02/8.21 1241. ((op (e1) (op (e1) (e3))) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) ### NotEqual 30 1240 % 8.02/8.21 1242. ((op (e1) (op (e1) (e3))) != (e3)) ((op (e1) (e3)) = (e3)) ### TransEq 1241 40 40 % 8.02/8.21 1243. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (op (e1) (e3))) != (e3)) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ### DisjTree 670 1242 866 888 % 8.02/8.21 1244. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (op (e1) (e3))) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1239 1225 67 1243 % 8.02/8.21 1245. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (op (e1) (e3))) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1244 % 8.02/8.21 1246. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e1) (op (e1) (e3))) != (e3)) ### ConjTree 1242 % 8.02/8.21 1247. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (op (e1) (e2))) != (e2)) ### ConjTree 304 % 8.02/8.21 1248. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) ((op (e1) (op (e1) (e3))) != (e3)) ### ConjTree 1242 % 8.02/8.21 1249. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e1) (op (e1) (e3))) != (e3)) ### ConjTree 1242 % 8.02/8.21 1250. 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(e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 1250 % 8.06/8.21 1252. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.06/8.21 1253. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.06/8.21 1254. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 8.06/8.21 1255. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq 1252 1253 1254 % 8.06/8.21 1256. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 1255 176 180 % 8.06/8.21 1257. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 194 1255 176 180 % 8.06/8.21 1258. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 1256 190 1257 % 8.06/8.21 1259. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 8.06/8.21 1260. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 8.06/8.21 1261. ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e1)) ### TransEq 1259 1260 40 % 8.06/8.21 1262. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (op (e2) (e1))) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1258 61 312 1261 % 8.06/8.21 1263. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (op (e2) (e1))) != (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### ConjTree 1262 % 8.06/8.21 1264. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 806 98 809 876 % 8.06/8.21 1265. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### ConjTree 1264 % 8.06/8.21 1266. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (op (e2) (e1))) != (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### ConjTree 1262 % 8.06/8.21 1267. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1258 % 8.06/8.21 1268. ((op (e2) (op (e2) (e2))) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. 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(e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 1268 % 8.06/8.22 1270. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1157 1225 960 % 8.06/8.22 1271. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1270 % 8.06/8.22 1272. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1270 % 8.06/8.22 1273. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. 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(e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 377 1275 888 % 8.06/8.22 1277. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.06/8.22 1278. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.06/8.22 1279. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 8.06/8.22 1280. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 1277 1278 1279 % 8.06/8.22 1281. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.06/8.22 1282. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.06/8.22 1283. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 1281 1282 30 % 8.06/8.22 1284. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.06/8.22 1285. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.06/8.22 1286. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 8.06/8.22 1287. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 1284 1285 1286 % 8.06/8.22 1288. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.06/8.22 1289. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.06/8.22 1290. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 8.06/8.22 1291. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq 1288 1289 1290 % 8.06/8.22 1292. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 902 1070 24 1079 % 8.06/8.22 1293. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1283 1287 1291 1292 % 8.06/8.22 1294. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 8.06/8.22 1295. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 8.06/8.22 1296. ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ### TransEq 1294 1295 35 % 8.06/8.22 1297. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 581 1079 506 996 % 8.06/8.22 1298. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 902 1070 1296 1297 % 8.06/8.22 1299. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) ((op (e1) (e3)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 585 326 908 1298 % 8.06/8.22 1300. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1283 1287 1291 1299 % 8.06/8.22 1301. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (op (e0) (e1))) != (e1)) ### DisjTree 1208 61 1293 1300 % 8.06/8.22 1302. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 1051 1280 1301 511 % 8.06/8.22 1303. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 1051 1280 563 511 % 8.06/8.22 1304. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (op (e0) (e1))) != (e1)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1302 1208 1303 822 % 8.06/8.22 1305. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 358 632 1192 854 % 8.06/8.22 1306. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.06/8.22 1307. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.06/8.22 1308. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 8.06/8.22 1309. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 1306 1307 1308 % 8.06/8.22 1310. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 632 1309 1291 % 8.06/8.22 1311. (((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)) = (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) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1305 290 908 1310 % 8.06/8.22 1312. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1283 1287 1291 1070 % 8.06/8.22 1313. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 912 632 1309 1312 % 8.06/8.22 1314. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 902 1313 24 1079 % 8.06/8.22 1315. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 354 908 1314 % 8.06/8.22 1316. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 806 1315 119 358 % 8.06/8.22 1317. ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((e0) != (e2)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((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 (e2) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1283 1287 1311 1316 % 8.06/8.22 1318. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 358 747 1192 876 % 8.06/8.22 1319. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (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)) = (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) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (op (e0) (e1))) != (e1)) ### DisjTree 1208 61 1317 1318 % 8.06/8.22 1320. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (op (e0) (e3))) != (e3)) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((e0) != (e2)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((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 (e2) (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) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 1051 1280 1319 383 % 8.06/8.22 1321. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 563 1305 827 876 % 8.06/8.22 1322. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (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) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e0) (op (e0) (e3))) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1320 1208 1321 822 % 8.06/8.22 1323. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (op (e0) (e3))) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((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 (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (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))))) ((e0) != (e3)) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (op (e0) (e0))) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 1157 1304 1322 % 8.06/8.22 1324. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (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) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((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))))) ((op (e3) (e1)) != (op (e3) (e2))) (((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 (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1323 % 8.06/8.22 1325. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 8.06/8.22 1326. ((op (e1) (op (e1) (e1))) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 30 1325 % 8.06/8.22 1327. ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ### Trans 1326 30 % 8.06/8.22 1328. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.06/8.22 1329. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.06/8.22 1330. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 8.06/8.22 1331. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 1328 1329 1330 % 8.06/8.22 1332. (((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 (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 1331 1313 1192 876 % 8.06/8.22 1333. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (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) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 377 1332 1297 % 8.06/8.22 1334. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (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) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 902 1332 24 1333 % 8.06/8.22 1335. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) (((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 (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 1327 581 1334 % 8.06/8.22 1336. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (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 (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1157 1327 1335 138 % 8.06/8.22 1337. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (op (e1) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((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 (e2) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1283 1287 1311 1242 % 8.06/8.22 1338. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (op (e1) (e3))) != (e3)) ((op (e1) (op (e1) (e1))) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) (((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 (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 1157 1336 1337 % 8.06/8.22 1339. (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((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 (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1338 % 8.06/8.22 1340. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 506 % 8.06/8.22 1341. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 702 % 8.06/8.22 1342. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 16 % 8.06/8.22 1343. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 702 % 8.06/8.22 1344. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ 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(e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### ConjTree 1109 % 8.06/8.22 1345. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 822 377 1074 1100 % 8.06/8.22 1346. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1345 % 8.06/8.22 1347. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 506 % 8.06/8.22 1348. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.06/8.22 1349. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.06/8.22 1350. ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 1348 1349 30 % 8.06/8.22 1351. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 822 1350 1074 1100 % 8.06/8.22 1352. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 581 1351 527 394 % 8.06/8.22 1353. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e1) (e3)) = (e2)) ((e0) != (e1)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### DisjTree 511 1298 1352 43 % 8.06/8.22 1354. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 614 1351 908 1353 % 8.06/8.22 1355. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e3)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 338 1352 1297 % 8.06/8.22 1356. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ### DisjTree 511 1297 1355 1014 % 8.06/8.22 1357. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e2) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 902 1354 24 1356 % 8.06/8.22 1358. ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 614 1345 908 1357 % 8.06/8.22 1359. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (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 (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e2) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 1157 1358 960 % 8.06/8.23 1360. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((e2) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 614 1104 908 1298 % 8.06/8.23 1361. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 1157 1360 960 % 8.06/8.23 1362. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((e2) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1361 % 8.06/8.23 1363. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 506 % 8.06/8.23 1364. 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!= (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 1364 % 8.06/8.23 1366. 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= (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (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))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 1324 1339 39 1365 % 8.06/8.23 1367. 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(e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 1368 % 8.06/8.23 1370. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 24 % 8.06/8.23 1371. 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(e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 1371 % 8.06/8.24 1373. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 227 % 8.06/8.24 1374. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e1) (op (e1) (e2))) != (e2)) ### ConjTree 304 % 8.06/8.24 1375. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e2) (e1)) != (op (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) 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(e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e3))) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (op (e1) (e0))) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 368 369 371 373 1193 1194 651 895 443 652 448 449 409 1246 411 412 413 414 1200 416 1201 1202 420 1203 472 427 473 1204 847 848 1205 850 488 489 490 938 1247 497 860 655 552 553 1212 644 939 1248 867 868 646 659 648 871 1249 877 1231 879 1373 1374 1370 883 884 890 891 892 % 8.06/8.24 1376. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 1375 % 8.08/8.24 1377. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((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 (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (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) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (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) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 1148 % 8.08/8.24 1378. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### ConjTree 233 % 8.08/8.24 1379. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 876 % 8.08/8.24 1380. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((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))))) ### ConjTree 1381 % 8.08/8.24 1383. 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((op (e3) (op (e3) (e2))) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 368 369 371 961 1193 1194 1195 784 443 1197 448 687 409 1043 962 412 413 414 1200 963 1201 1202 420 787 472 427 473 688 689 848 966 850 488 489 490 967 1378 497 860 788 552 553 1212 690 691 968 867 868 646 953 648 871 1379 877 1231 879 1373 1232 1370 883 884 890 891 892 % 8.08/8.24 1384. 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= (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e1) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 1383 % 8.08/8.24 1385. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 377 1385 159 % 8.08/8.25 1387. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ### DisjTree 319 1074 1179 1387 % 8.08/8.25 1389. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((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 (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 614 326 908 1388 % 8.08/8.25 1390. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (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 (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 999 343 1167 % 8.08/8.25 1391. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1175 1389 87 1391 % 8.08/8.25 1393. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ### DisjTree 1393 560 563 279 % 8.08/8.25 1395. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (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)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 1161 999 186 1165 % 8.08/8.25 1396. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((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 (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ### DisjTree 247 1395 24 1014 % 8.08/8.25 1397. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 1396 594 1169 % 8.08/8.25 1398. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((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) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (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))))) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 230 233 1394 1397 % 8.08/8.25 1399. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 563 1305 827 159 % 8.08/8.25 1400. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 8.08/8.25 1401. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 8.08/8.25 1402. ((op (op (e0) (e0)) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ### NotEqual 1401 25 % 8.08/8.25 1403. ((op (op (e0) (e0)) (e0)) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans 1402 40 % 8.08/8.25 1404. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 8.08/8.25 1405. ((op (op (op (e0) (e0)) (e0)) (op (e0) (e0))) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) ### NotEqual 1403 1404 % 8.08/8.25 1406. ((e1) != (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1405 30 % 8.08/8.25 1407. ((e3) != (op (op (e0) (e0)) (e0))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1402 40 % 8.08/8.25 1408. (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e3) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### DisjTree 1400 1406 1407 % 8.08/8.25 1409. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 563 290 908 1408 % 8.08/8.26 1410. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((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))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (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 (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1410 905 827 1165 % 8.08/8.26 1412. (((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)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e3) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1408 905 827 1165 % 8.08/8.26 1413. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (-. 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(e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) 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(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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1411 290 908 1412 % 8.08/8.26 1414. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 563 354 908 747 % 8.08/8.26 1415. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 806 1414 119 358 % 8.08/8.26 1416. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1415 1305 827 159 % 8.08/8.26 1417. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1416 290 908 747 % 8.08/8.26 1418. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 233 61 1413 1417 % 8.08/8.26 1419. ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1157 1398 1420 % 8.08/8.27 1422. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1175 1389 304 1395 % 8.08/8.27 1424. ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(e1)) = (e1)) \/ (((op (e3) (e2)) = (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (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 (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((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) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 233 61 1166 1423 % 8.08/8.27 1425. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 1424 594 1425 % 8.08/8.27 1427. ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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/\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((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) (e2)) != (op (e2) (e2))) (((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 (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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 233 61 1427 1428 % 8.08/8.27 1430. (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 290 1433 1386 % 8.08/8.28 1435. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (op (e0) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) = (e0)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 705 731 210 247 % 8.08/8.28 1436. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (op (e0) (e2))) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1239 1208 67 1435 % 8.08/8.28 1437. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1436 % 8.08/8.28 1438. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 912 330 751 992 % 8.08/8.28 1439. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 400 304 908 1438 % 8.08/8.28 1440. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (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))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (op (e1) (e2))) != (e2)) ((e1) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 614 1224 1439 999 % 8.08/8.28 1441. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((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 (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1175 1179 304 1440 % 8.08/8.28 1442. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((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))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 233 1327 581 1441 % 8.08/8.28 1443. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((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 (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1157 1327 912 1442 % 8.08/8.28 1444. (((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))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 614 425 1439 342 % 8.08/8.28 1445. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (op (e1) (e2))) != (e2)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 1327 581 1444 % 8.08/8.28 1446. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1239 1443 67 1445 % 8.08/8.28 1447. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 8.08/8.28 1448. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 8.08/8.28 1449. ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e0)) ### TransEq 1447 1448 35 % 8.08/8.28 1450. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.08/8.28 1451. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.08/8.28 1452. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 8.08/8.28 1453. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 1450 1451 1452 % 8.08/8.28 1454. (((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) (e0)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 215 1327 1449 1453 % 8.08/8.28 1455. (((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 (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((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 (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1157 1446 1454 % 8.08/8.28 1456. (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1455 % 8.08/8.28 1457. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.08/8.28 1458. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.08/8.28 1459. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 8.08/8.28 1460. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 1457 1458 1459 % 8.08/8.28 1461. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((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)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) 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(e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 1453 727 1460 1368 % 8.08/8.28 1462. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 67 290 773 747 % 8.08/8.28 1463. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (op (e2) (e1))) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1255 61 312 1462 % 8.08/8.28 1464. 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(e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 702 377 496 1467 % 8.08/8.29 1469. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 702 % 8.08/8.29 1470. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.08/8.29 1471. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.08/8.29 1472. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.08/8.29 1473. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq 1470 1471 1472 % 8.08/8.29 1474. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 338 1473 1078 % 8.08/8.29 1475. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 636 1473 1078 % 8.08/8.29 1476. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 822 377 1474 1475 % 8.08/8.29 1477. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((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)) ((e1) != (e2)) ### DisjTree 70 1476 506 115 % 8.08/8.29 1478. 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(((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. 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((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 1483 % 8.08/8.29 1485. (((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) (e0)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 219 1327 1449 1453 % 8.08/8.29 1486. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### ConjTree 1485 % 8.08/8.29 1487. 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(e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### ConjTree 1488 % 8.08/8.30 1490. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### ConjTree 1492 % 8.08/8.30 1494. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 902 1473 496 1141 % 8.08/8.30 1495. 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(e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 1498 % 8.08/8.30 1500. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (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 (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (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) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1468 290 506 1501 % 8.08/8.31 1503. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (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))))) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1434 61 1502 1368 % 8.08/8.31 1504. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (op (e2) (e2))) != (e2)) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 70 112 38 115 % 8.08/8.31 1505. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (op (e2) (e2))) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1504 120 123 % 8.08/8.31 1506. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (op (e2) (e2))) != (e2)) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1505 131 182 186 % 8.08/8.31 1507. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e1) (e3)) = (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (op (e2) (e2))) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((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)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 1506 190 203 % 8.08/8.31 1508. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (op (e2) (e2))) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 92 95 98 1507 % 8.08/8.31 1509. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((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)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((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))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (op (e2) (e2))) != (e2)) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1505 134 1508 186 % 8.08/8.31 1510. ((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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (op (e2) (e2))) != (e2)) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1505 127 1509 % 8.08/8.31 1511. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (op (e2) (e2))) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((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)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((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))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1510 70 176 % 8.08/8.31 1512. ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ 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(((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1505 1148 163 % 8.08/8.31 1513. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) (-. 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(e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 49 1503 1511 1512 % 8.08/8.31 1514. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (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))))) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (op (e2) (e2))) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e3)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 49 53 1513 1152 % 8.08/8.31 1515. (((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (-. 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(e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 1514 % 8.08/8.31 1516. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 70 106 24 686 % 8.08/8.31 1517. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom % 8.08/8.31 1518. ((op (e3) (op (e3) (e1))) != (op (e3) (e0))) ((op (e3) (e1)) = (e0)) ### NotEqual 40 1517 % 8.08/8.31 1519. ((op (e3) (op (e3) (e1))) != (e1)) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) = (e0)) ### TransEq 1518 30 30 % 8.08/8.31 1520. (((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 (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (op (e3) (e1))) != (e1)) ### DisjTree 1519 167 170 151 % 8.08/8.31 1521. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 1331 632 686 854 % 8.08/8.31 1522. (((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)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 92 95 1521 180 % 8.08/8.31 1523. (((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) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (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 (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 138 1520 176 1522 % 8.08/8.31 1524. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (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)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (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 (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1516 134 1523 186 % 8.08/8.31 1525. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e1) (e3)) = (e3)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((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) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (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) (e3)) != (op (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 (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 1524 190 203 % 8.08/8.31 1526. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (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) (e3)) != (op (e1) (e3))) (((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)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (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 (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e3)) = (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ### DisjTree 960 1525 123 203 % 8.08/8.31 1527. ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (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 (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 92 95 98 1526 % 8.08/8.31 1528. (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (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) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1516 131 1527 186 % 8.08/8.31 1529. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e3) (op (e3) (e0))) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (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 (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1516 127 1528 % 8.08/8.31 1530. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((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) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1529 70 176 % 8.08/8.32 1531. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 1503 1530 1531 % 8.08/8.32 1533. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 293 1519 123 147 % 8.08/8.32 1534. 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(op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) != (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (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) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((op (e3) (op (e3) (e1))) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1533 1147 163 % 8.17/8.32 1535. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e1))) != (e1)) ((e0) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (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)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (-. 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(e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (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))))) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (op (e3) (e1))) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 49 53 1532 1535 % 8.17/8.32 1537. (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. 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(((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((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) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ### ConjTree 1536 % 8.17/8.32 1538. (((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))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((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))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1154 34 1515 1537 % 8.17/8.33 1539. ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. 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(((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (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)) != (op (e0) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((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) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 20 1538 159 % 8.17/8.33 1540. (((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))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. 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(e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) 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(e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((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))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 12 46 1539 % 8.17/8.33 1541. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 8.17/8.33 1542. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 8.17/8.33 1543. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 1541 1542 30 % 8.17/8.33 1544. (((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 (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 163 1460 916 1014 % 8.17/8.33 1545. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 8.17/8.33 1546. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 8.17/8.33 1547. ((op (op (e1) (e1)) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e0)) ### NotEqual 1546 30 % 8.17/8.33 1548. ((op (op (e1) (e1)) (e1)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans 1547 40 % 8.17/8.33 1549. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 8.17/8.33 1550. ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) != (op (e3) (e0))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e3)) ### NotEqual 1548 1549 % 8.17/8.33 1551. ((e2) != (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1550 35 % 8.17/8.33 1552. ((e3) != (op (op (e1) (e1)) (e1))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1547 40 % 8.17/8.33 1553. (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### DisjTree 1545 1551 1552 % 8.17/8.33 1554. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 727 731 1553 % 8.17/8.33 1555. (((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)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 1554 1460 916 1014 % 8.17/8.33 1556. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 8.17/8.33 1557. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 8.17/8.33 1558. ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e1)) ### TransEq 1556 1557 40 % 8.17/8.33 1559. (((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))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) ((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 1544 1555 1063 1558 % 8.17/8.33 1560. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 8.17/8.33 1561. ((op (op (e2) (e2)) (e2)) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans 73 40 % 8.17/8.33 1562. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 8.17/8.33 1563. ((op (op (op (e2) (e2)) (e2)) (op (e2) (e2))) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) ### NotEqual 1561 1562 % 8.17/8.33 1564. ((e1) != (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 1563 30 % 8.17/8.33 1565. ((e3) != (op (op (e2) (e2)) (e2))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 73 40 % 8.17/8.33 1566. (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### DisjTree 1560 1564 1565 % 8.17/8.33 1567. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((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))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 237 1544 1566 % 8.17/8.33 1568. (((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) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((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)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 1567 727 1063 1558 % 8.17/8.33 1569. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((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))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ### DisjTree 400 354 1568 1331 % 8.17/8.33 1570. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (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)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((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) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 233 1559 1449 1569 % 8.17/8.33 1571. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((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 (e2) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 1161 338 343 347 % 8.17/8.33 1572. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 1161 636 275 347 % 8.17/8.33 1573. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((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 (e0) (e3)) != (op (e1) (e3))) ((op (e0) (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) ### DisjTree 247 223 1571 1572 % 8.17/8.33 1574. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e2)) != (op (e1) (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) (e3)) != (op (e2) (e3))) ((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 (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e2)) ((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))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 614 1449 1568 1573 % 8.17/8.33 1575. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (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) (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 (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((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))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((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))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((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)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1543 1570 1574 % 8.17/8.33 1576. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.17/8.33 1577. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.17/8.33 1578. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 8.17/8.33 1579. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq 1576 1577 1578 % 8.17/8.33 1580. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e2)) != (op (e1) (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) (e3)) != (op (e2) (e3))) ((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 (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((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))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1579 1449 1567 1573 % 8.17/8.33 1581. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (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) (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 (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((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))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 731 1544 1580 % 8.17/8.33 1582. ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e3)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (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))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ 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(e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 49 1502 1575 1581 % 8.17/8.33 1583. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 8.17/8.33 1584. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 8.17/8.33 1585. ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 1583 1584 30 % 8.17/8.33 1586. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 1331 1063 916 91 % 8.17/8.33 1587. (((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 (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1585 766 1586 1165 % 8.17/8.33 1588. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((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)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((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) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1559 1449 1587 % 8.17/8.33 1589. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((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))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((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))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (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 (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 731 1588 247 % 8.17/8.33 1590. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((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))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 731 1544 247 % 8.17/8.33 1591. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((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)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 271 290 1589 1590 % 8.17/8.33 1592. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (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))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != 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(e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (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 (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (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) (e1)) != (op (e2) (e1))) ((e1) != (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) (e2)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e3)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 49 1582 237 1591 % 8.17/8.33 1593. ((e0) != (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = 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(e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 223 496 1592 % 8.17/8.33 1594. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 57 298 920 % 8.17/8.33 1595. (((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)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((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 (e0) (op (e0) (e2))) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 731 210 1594 % 8.17/8.33 1596. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.17/8.33 1597. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.17/8.33 1598. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 8.17/8.33 1599. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e2)) ### TransEq 1596 1597 1598 % 8.17/8.33 1600. (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ### DisjTree 201 636 1599 1165 % 8.17/8.33 1601. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 731 267 1600 % 8.17/8.33 1602. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1585 766 91 1601 % 8.17/8.34 1603. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 70 1602 506 115 % 8.17/8.34 1604. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (op (e0) (e2))) != (e2)) ### DisjTree 210 106 908 115 % 8.17/8.34 1605. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1603 326 1604 338 % 8.17/8.34 1606. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (op (e0) (e2))) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (op (e0) (e1))) != (e1)) ### DisjTree 1208 20 425 1605 % 8.17/8.34 1607. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1606 390 163 % 8.17/8.34 1608. 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(e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 1501 1603 1607 % 8.17/8.34 1609. 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= (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (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) (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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 1609 % 8.17/8.34 1611. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 8.17/8.34 1612. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 8.17/8.34 1613. ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### TransEq 1611 1612 40 % 8.17/8.34 1614. (((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) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 735 573 766 1613 % 8.17/8.34 1615. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 285 568 1599 759 % 8.17/8.34 1616. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (op (e1) (e3))) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e3)) = (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))))) ### DisjTree 1614 1242 1615 1014 % 8.17/8.34 1617. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (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) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 163 1460 115 1616 % 8.17/8.34 1618. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 163 727 170 636 % 8.17/8.34 1619. (((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 (e3) (e3)) = (e2)) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 194 568 1599 759 % 8.17/8.34 1620. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 735 386 1619 1014 % 8.17/8.34 1621. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e3)) (((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 (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1618 1460 916 1620 % 8.17/8.34 1622. (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e1) (op (e1) (e3))) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1617 1621 % 8.17/8.34 1623. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 293 1622 123 1621 % 8.17/8.34 1624. ((e0) != (e1)) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e1) (op (e1) (e3))) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1623 727 170 636 % 8.17/8.34 1625. ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ### DisjTree 1624 573 766 876 % 8.17/8.34 1626. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 298 304 908 115 % 8.17/8.34 1627. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 735 573 766 876 % 8.17/8.34 1628. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1627 386 1615 1014 % 8.17/8.34 1629. (((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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (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) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (op (e1) (e2))) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1626 1350 496 1628 % 8.17/8.34 1630. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) (((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 (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (op (e1) (e2))) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1626 1350 496 1620 % 8.17/8.34 1631. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) (((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))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1629 1630 % 8.17/8.34 1632. (((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 (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (op (e1) (e2))) != (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 585 425 1631 338 % 8.17/8.34 1633. ((op (e3) (e1)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) (((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))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1632 573 605 1261 % 8.17/8.34 1634. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (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) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((e1) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (op (e1) (e2))) != (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e1)) = (e1)) ### DisjTree 1633 1179 304 1350 % 8.17/8.34 1635. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e1) (op (e1) (e3))) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 1625 20 425 1634 % 8.17/8.34 1636. ((op (e0) (e1)) = (e1)) ((op (e3) (e2)) = (e3)) ((op (e1) (e3)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 106 1148 1618 % 8.17/8.34 1637. 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(e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e3) (e2)) = (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 298 1636 908 115 % 8.17/8.34 1638. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1603 223 1637 170 % 8.17/8.34 1639. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (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 (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (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))) (-. 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(e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1638 425 1637 338 % 8.17/8.35 1640. 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(((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((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))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e1) (op (e1) (e3))) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1543 1625 1639 % 8.17/8.35 1641. (((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 (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (op (e1) (e2))) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 585 326 1626 338 % 8.17/8.35 1642. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((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))) ### DisjTree 1640 20 425 1641 % 8.17/8.35 1643. 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(op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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) (e1)) != (op (e2) (e1))) (((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 731 1635 1642 % 8.17/8.35 1644. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (op (e1) (e2))) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1603 425 1626 338 % 8.17/8.35 1645. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e2)) != (op (e0) (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)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 731 70 1644 % 8.17/8.35 1646. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e1) (op (e1) (e3))) != (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op 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(((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 1643 1640 1645 568 % 8.17/8.35 1647. (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((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)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (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))))) (-. 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(e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((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)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (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) (e1)) != (op (e2) (e1))) (((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### ConjTree 1646 % 8.17/8.35 1648. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1603 223 773 170 % 8.17/8.35 1649. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (op (e2) (e1))) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (op (e2) (e2))) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1648 312 773 338 % 8.17/8.35 1650. (((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 1649 % 8.17/8.35 1651. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 163 1460 115 1141 % 8.17/8.35 1652. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e3) (op (e3) (e1))) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1651 628 170 636 % 8.17/8.35 1653. (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 1652 % 8.17/8.35 1654. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ 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= (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (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 (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1610 1647 1650 1653 % 8.17/8.35 1655. 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(e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (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 (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1593 506 1655 % 8.17/8.36 1657. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 8.17/8.36 1658. ((op (op (e1) (e1)) (e1)) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans 1547 35 % 8.17/8.36 1659. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 8.17/8.36 1660. ((op (op (op (e1) (e1)) (e1)) (op (e1) (e1))) != (op (e2) (e0))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ### NotEqual 1658 1659 % 8.17/8.36 1661. ((e3) != (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1660 40 % 8.17/8.36 1662. ((e2) != (op (op (e1) (e1)) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1547 35 % 8.17/8.36 1663. (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### DisjTree 1657 1661 1662 % 8.17/8.36 1664. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1224 131 1280 % 8.17/8.36 1665. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 1663 716 1664 1287 % 8.17/8.36 1666. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1579 436 260 1665 % 8.17/8.36 1667. (((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) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1666 131 446 186 % 8.17/8.36 1668. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (op (e0) (e2))) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((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) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1667 210 176 % 8.17/8.36 1669. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) = (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))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (op (e0) (e2))) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (op (e0) (e1))) != (e1)) ### DisjTree 1208 12 1668 1261 % 8.17/8.36 1670. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((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) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### ConjTree 1669 % 8.17/8.36 1671. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 8.17/8.36 1672. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 8.17/8.36 1673. ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ### TransEq 1671 1672 40 % 8.17/8.36 1674. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 1543 263 496 1673 % 8.17/8.36 1675. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1666 263 425 1673 % 8.17/8.36 1676. (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1675 1664 446 186 % 8.17/8.36 1677. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((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 (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1674 33 1676 1261 % 8.17/8.36 1678. (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (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) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### ConjTree 1677 % 8.17/8.36 1679. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1585 996 809 866 % 8.17/8.36 1680. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (op (e2) (e1))) != (e1)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1679 312 330 1296 % 8.17/8.36 1681. (((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 1680 % 8.17/8.36 1682. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 163 1673 686 155 % 8.17/8.36 1683. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1682 1261 1063 1100 % 8.17/8.36 1684. (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((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 1683 % 8.17/8.36 1685. ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (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))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) = (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))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (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) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### DisjTree 1670 1678 1681 1684 % 8.17/8.36 1686. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (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 (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 223 1685 888 % 8.17/8.36 1687. (((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)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 585 1664 908 338 % 8.17/8.36 1688. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 1543 1687 506 1673 % 8.17/8.36 1689. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ### DisjTree 594 1600 1003 1663 % 8.17/8.36 1690. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1689 1350 866 1615 % 8.17/8.36 1691. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((e2) != (e3)) (((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) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1690 1010 1192 1615 % 8.17/8.36 1692. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 581 201 260 1665 % 8.17/8.36 1693. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1692 1350 866 1619 % 8.17/8.36 1694. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1691 1693 % 8.17/8.36 1695. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((e1) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 905 827 1694 % 8.17/8.36 1696. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 905 827 1691 % 8.17/8.36 1697. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (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 1579 1695 119 1696 % 8.17/8.36 1698. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 8.17/8.36 1699. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 8.17/8.36 1700. ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 1698 1699 30 % 8.17/8.36 1701. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 632 1309 1291 % 8.17/8.36 1702. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 1700 908 1701 % 8.17/8.36 1703. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((e1) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1697 1287 1702 386 % 8.17/8.36 1704. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1688 20 1703 1261 % 8.17/8.36 1705. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 1543 1687 1449 1673 % 8.17/8.36 1706. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 1664 1449 1673 % 8.17/8.36 1707. (((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)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 1585 1224 908 338 % 8.17/8.36 1708. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ### DisjTree 1707 20 1706 1414 % 8.17/8.36 1709. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e1)) != (op (e3) (e1))) (((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)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1708 996 827 1600 % 8.17/8.36 1710. ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1709 1664 908 338 % 8.17/8.36 1711. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (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) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1689 716 1710 1287 % 8.17/8.36 1712. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1711 1673 1192 1615 % 8.17/8.36 1713. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (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) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((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 (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1712 1350 190 1615 % 8.17/8.36 1714. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1713 1693 % 8.17/8.36 1715. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((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) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (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) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((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 (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1714 1701 827 170 % 8.17/8.36 1716. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (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 (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1706 605 827 1715 % 8.17/8.36 1717. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (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 (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (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 (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 354 908 1716 % 8.17/8.36 1718. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((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 (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e0)) != (op (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 (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1717 1664 87 1350 % 8.17/8.36 1719. (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (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 (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((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 (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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1705 20 1718 1261 % 8.17/8.36 1720. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((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) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 230 1704 1719 1613 % 8.17/8.36 1721. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (op (e0) (e0))) != (e0)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (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))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((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) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 708 1704 1720 621 % 8.17/8.36 1722. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 708 131 87 1350 % 8.17/8.36 1723. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((e2) != (e3)) (((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) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1690 1693 % 8.17/8.36 1724. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1723 % 8.17/8.36 1725. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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 (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1690 % 8.17/8.36 1726. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((e1) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (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 1579 1724 119 1725 % 8.17/8.36 1727. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((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) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1726 131 87 1350 % 8.17/8.36 1728. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((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) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (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))) ((op (e1) (e2)) != (op (e2) (e2))) (((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 1543 20 1727 1261 % 8.17/8.36 1729. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((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 (e0) (e2))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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 (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((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) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 244 1728 1719 1613 % 8.17/8.37 1730. (((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 (e0) (e2)) != (op (e3) (e2))) ((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 (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((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)) != (op (e0) (e2))) (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((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) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1722 1728 1729 621 % 8.17/8.37 1731. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ 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= (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((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 (e1) (e0)) 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!= (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((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)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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 (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((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))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (op (e0) (e0))) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1721 1148 1730 % 8.17/8.37 1732. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1689 % 8.17/8.37 1733. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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 (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1732 1673 1192 1615 % 8.17/8.37 1734. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1733 1693 % 8.17/8.37 1735. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 1663 905 827 1734 % 8.17/8.37 1736. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) = (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 1663 905 827 1733 % 8.17/8.37 1737. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) = (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1579 1735 119 1736 % 8.17/8.37 1738. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1737 1664 425 1673 % 8.17/8.37 1739. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e0)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) = (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1688 20 1738 1261 % 8.17/8.37 1740. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (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) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((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 (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 902 621 1712 1692 % 8.17/8.37 1741. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((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) != (e2)) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (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))))) ### DisjTree 1740 1701 827 170 % 8.17/8.37 1742. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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 (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (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) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (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 (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 905 827 1741 % 8.17/8.37 1743. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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 (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (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 (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (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 (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 354 908 1742 % 8.17/8.37 1744. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (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) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (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 (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1743 1664 425 1673 % 8.17/8.37 1745. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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 (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (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 (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1705 20 1744 1261 % 8.17/8.37 1746. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (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 (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1739 1745 1613 % 8.17/8.37 1747. (((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 (e0) (e2)) != (op (e3) (e2))) ((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 (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (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))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 708 1739 1746 621 % 8.17/8.37 1748. (((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 (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1689 1692 % 8.17/8.37 1749. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1748 % 8.17/8.37 1750. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (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 1579 1749 119 1732 % 8.17/8.37 1751. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((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 (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1750 1687 425 1673 % 8.17/8.37 1752. (((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))))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (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))) (((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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1751 1664 87 1350 % 8.17/8.37 1753. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((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 (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) (((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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (op (e0) (e1))) != (e1)) ### DisjTree 1208 20 1752 1261 % 8.17/8.37 1754. (((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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 708 1664 87 275 % 8.17/8.37 1755. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((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))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1705 20 1754 1261 % 8.17/8.37 1756. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (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))))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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))))) ((e0) != (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))) (((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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 230 1753 1755 1613 % 8.17/8.37 1757. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((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)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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 (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (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 (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1744 1687 87 275 % 8.17/8.37 1758. ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (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) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (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 (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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 (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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1705 20 1757 1261 % 8.17/8.37 1759. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (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))))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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))))) ((e0) != (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))) (((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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e0) (op (e0) (e0))) != (e0)) ### DisjTree 230 1753 1758 1613 % 8.17/8.37 1760. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (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 (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 (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((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 (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) (((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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1756 1753 1759 621 % 8.17/8.37 1761. ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) 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(e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (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)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1731 210 1761 % 8.17/8.38 1763. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (op (e0) (e1))) != (e1)) ### DisjTree 1208 20 436 1261 % 8.17/8.38 1764. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 163 1673 1192 1615 % 8.17/8.38 1765. (((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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (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 (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1764 1693 % 8.17/8.38 1766. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e3) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((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 (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1706 905 827 1765 % 8.17/8.38 1767. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) = (e3)) ((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 (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 1663 905 827 1764 % 8.17/8.38 1768. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((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) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (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 1579 1766 119 1767 % 8.17/8.38 1769. (((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)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e3) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((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 (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (op (e0) (e1))) != (e1)) ### DisjTree 1208 20 1768 1261 % 8.17/8.38 1770. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((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 (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 1543 20 1766 1261 % 8.17/8.38 1771. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((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) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (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)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1769 1770 1613 % 8.17/8.38 1772. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (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))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (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 (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = 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(((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (op (e0) (e1))) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1771 1148 163 % 8.25/8.38 1773. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 163 1673 1192 1599 % 8.25/8.38 1774. ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (op (e0) (e1))) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) (-. 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(e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (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)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1772 70 1773 % 8.25/8.38 1775. 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(e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. 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= (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((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 (e1) (e0)) 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!= (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((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)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (op (e0) (e0))) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (op (e0) (e2))) != (e2)) ((op (e0) (op (e0) (e1))) != (e1)) ### DisjTree 1762 1208 1775 568 % 8.25/8.38 1777. (((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((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) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (-. 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((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (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)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ### ConjTree 1776 % 8.25/8.38 1778. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1689 716 1664 573 % 8.25/8.38 1779. (((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 (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (op (e1) (e1))) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1778 1692 % 8.25/8.38 1780. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (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))))) ### DisjTree 1779 1673 1192 1615 % 8.25/8.38 1781. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (op (e1) (e1))) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 1350 190 1615 % 8.25/8.38 1782. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (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))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ### DisjTree 498 621 1781 1693 % 8.25/8.38 1783. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (((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 (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1782 % 8.25/8.39 1784. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (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))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1783 1664 304 1350 % 8.25/8.39 1785. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (op (e1) (e1))) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1778 1673 1192 1615 % 8.25/8.39 1786. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1785 1350 866 1615 % 8.25/8.39 1787. (((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 (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))))) ((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 (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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 (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((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) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1786 % 8.25/8.39 1788. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (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 (e2) (e0))) ### DisjTree 1579 1784 119 1787 % 8.25/8.39 1789. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (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))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) (((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))))) ### DisjTree 1788 131 87 1350 % 8.25/8.39 1790. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (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 (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (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 (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 1543 33 1789 1261 % 8.25/8.39 1791. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 1543 33 436 1261 % 8.25/8.39 1792. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ### DisjTree 1707 996 827 1600 % 8.25/8.39 1793. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((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 (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1791 1309 1792 % 8.25/8.39 1794. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1543 1309 1773 % 8.25/8.39 1795. ((op (e1) (op (e1) (e1))) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op 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= (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1688 1503 1793 1794 % 8.25/8.39 1796. (((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 (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 902 621 1780 1692 % 8.25/8.39 1797. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1796 % 8.25/8.39 1798. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (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) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 1663 905 827 1785 % 8.25/8.39 1799. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) (((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 1579 1797 119 1798 % 8.25/8.39 1800. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((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))))) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1799 1664 425 1673 % 8.25/8.39 1801. ((op (e1) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ 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(e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (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)) != (op (e3) (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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (op (e1) (e1))) != (e1)) ### DisjTree 1795 34 1800 1261 % 8.25/8.39 1802. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((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 (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1797 1664 425 1673 % 8.25/8.39 1803. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (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 (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (e1))) != (e1)) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1705 33 1802 1261 % 8.25/8.39 1804. ((op (e1) (op (e1) (e1))) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op 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(e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1801 1803 1613 % 8.25/8.39 1805. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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))))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1779 % 8.25/8.39 1806. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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 (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((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)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 1663 996 827 1778 % 8.25/8.39 1807. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (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 1579 1805 119 1806 % 8.25/8.39 1808. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((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 (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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))))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1807 1687 506 1673 % 8.25/8.39 1809. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (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))) (((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 (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1808 1664 304 275 % 8.25/8.39 1810. ((op (e0) (e3)) = (e2)) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) (-. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((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))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (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 (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (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)) != (op (e3) (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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (op (e1) (e1))) != (e1)) ### DisjTree 1795 34 1809 1261 % 8.25/8.39 1811. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((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 (e1) (e0)) != (op (e2) (e0))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1805 1664 1449 1673 % 8.25/8.39 1812. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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))))) ((op (e1) (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1811 1664 87 1350 % 8.25/8.40 1813. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (op (e1) (e1))) != (e1)) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1705 33 1812 1261 % 8.25/8.40 1814. ((op (e1) (op (e1) (e1))) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (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)) != (op (e3) (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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1804 1148 1814 % 8.25/8.40 1816. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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 (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. 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(e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (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 (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (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 (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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (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) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e2)) != (op (e2) (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) (op (e1) (e2))) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (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 (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) (((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))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1790 1309 1815 % 8.25/8.40 1817. (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (op (e1) (e1))) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1793 34 436 1261 % 8.25/8.40 1818. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((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 (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((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 (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1794 34 1768 1261 % 8.25/8.40 1819. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((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 (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 1543 33 1766 1261 % 8.25/8.40 1820. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (op (e1) (e1))) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) (((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) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (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)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ### DisjTree 368 1818 1819 1613 % 8.25/8.40 1821. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (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)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = 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(e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((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)) != (op (e1) (e2))) (-. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (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 (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((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 (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (op (e1) (e1))) != (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1820 1110 163 % 8.25/8.40 1822. 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(e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1821 70 1773 % 8.25/8.40 1823. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ 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((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)) != (op (e1) (e2))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((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 (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (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 (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))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 377 1817 1822 % 8.25/8.41 1824. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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((op (e3) (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((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 (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1816 1795 1823 568 % 8.25/8.41 1825. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 1503 % 8.25/8.41 1829. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 16 % 8.25/8.41 1830. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 223 % 8.25/8.41 1831. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 24 % 8.25/8.41 1832. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ### ConjTree 1309 % 8.25/8.41 1833. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 4 % 8.25/8.41 1834. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 1543 1687 527 1673 % 8.25/8.41 1835. ((op (e1) (op (e1) (e1))) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. 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(e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1834 1503 1793 1794 % 8.25/8.41 1836. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e1) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1785 1350 1212 1615 % 8.25/8.41 1837. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (op (e1) (e1))) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e2)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1836 1693 % 8.25/8.41 1838. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((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))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e1) != (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (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) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 905 827 1837 % 8.25/8.41 1839. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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 (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((e1) != (e2)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1838 1664 87 1350 % 8.25/8.41 1840. (((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 (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))))) ((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 (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (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 (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((e1) != (e2)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1836 % 8.25/8.41 1841. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((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))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((e1) != (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (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) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((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 (e2) (e0))) ### DisjTree 1579 1839 119 1840 % 8.25/8.41 1842. ((op (e1) (op (e1) (e2))) != (e2)) ((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 (e2) (e0))) ((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 (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((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 (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (op (e1) (e1))) != (e1)) ((e1) != (e2)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1841 1687 304 1350 % 8.25/8.41 1843. ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (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) (op (e1) (e2))) != (e2)) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ 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(e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (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)) != (op (e3) (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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (op (e1) (e1))) != (e1)) ### DisjTree 1835 34 1842 1261 % 8.25/8.41 1844. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. 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((op (e0) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. 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(e3) (e0)) = (e0))))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (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)) != (op (e3) (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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (op (e1) (e1))) != (e1)) ### DisjTree 1835 34 1802 1261 % 8.25/8.41 1846. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (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 (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. 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(e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (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)) != (op (e3) (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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (op (e1) (e1))) != (e1)) ### DisjTree 1835 34 1809 1261 % 8.25/8.42 1848. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (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 (e1) (e0)) != (op (e2) (e0))) (((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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (op (e1) (e1))) != (e1)) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1834 33 1812 1261 % 8.25/8.42 1849. ((op (e1) (op (e1) (e1))) != (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (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) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((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) (e2)) != (op (e3) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op 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(e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. 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(((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1847 1848 1613 % 8.25/8.42 1850. ((op (e1) (op (e1) (e2))) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((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 (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1846 862 1849 % 8.25/8.42 1851. 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/\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((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))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1843 1309 1850 % 8.25/8.42 1852. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.25/8.42 1853. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.25/8.42 1854. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 8.25/8.42 1855. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 1852 1853 1854 % 8.25/8.42 1856. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) = (e0)) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1305 1613 1855 201 % 8.25/8.42 1857. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 563 1856 827 876 % 8.25/8.42 1858. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 1663 1664 527 1673 % 8.25/8.42 1859. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1858 716 1664 1287 % 8.25/8.42 1860. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ### DisjTree 1707 20 1859 1261 % 8.25/8.42 1861. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (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 (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1764 727 1701 636 % 8.25/8.42 1862. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 902 621 1861 201 % 8.25/8.42 1863. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((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) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (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 (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 563 1862 827 123 % 8.25/8.42 1864. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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 (e0) (e1)) = (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 (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((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)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (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))))) ### DisjTree 1860 1188 827 1863 % 8.25/8.42 1865. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) != (op (e2) (e1))) ((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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e1)) = (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)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (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))))) ((e0) != (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 67 1857 119 1864 % 8.25/8.42 1866. ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e2)) (((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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (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 (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((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 (e0) (e1)) != (op (e2) (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) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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 (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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 (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 1543 1865 527 1673 % 8.25/8.42 1867. ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) != (op (e2) (e1))) ((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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (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))))) ((e0) != (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 1866 34 436 1261 % 8.25/8.42 1868. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((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 (e0) (e1)) != (op (e2) (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) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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 (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1791 1309 1867 % 8.25/8.42 1869. (((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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e2) (e3)) = (e3)) (((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 (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 293 1613 1855 1693 % 8.25/8.42 1870. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e2)) (((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 (e2) (e2)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1859 905 827 1869 % 8.25/8.42 1871. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e2)) = (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 (e0) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e3)) = (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 (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) (((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 1579 1870 119 1767 % 8.25/8.42 1872. (((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)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((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 (e2) (e2)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (op (e1) (e1))) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 1543 33 1871 1261 % 8.25/8.42 1873. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (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 (e0) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (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 (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1794 34 1870 1261 % 8.25/8.42 1874. (((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) (e2)) != (op (e2) (e2))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((e1) != (e2)) ((op (e1) (op (e1) (e1))) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (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 (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e2)) = (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 (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (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 (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) (((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))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 244 1872 1873 1613 % 8.25/8.42 1875. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) (((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) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (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)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 708 1818 1874 621 % 8.25/8.42 1876. (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (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 (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((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 (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (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 (e1) (op (e1) (e1))) != (e1)) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1875 862 163 % 8.25/8.42 1877. ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) (((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 (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (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)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1876 70 1773 % 8.25/8.43 1878. (((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))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (op (e1) (e1))) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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)) != (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))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (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) (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) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (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 (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 57 377 1868 1877 % 8.25/8.43 1879. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (op (e1) (e2))) != (e2)) (((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((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))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((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 (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (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 (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ (((op (e0) (e3)) = 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(e3) (e0)) = (e0))))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (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)) != (op (e3) (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))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (op (e1) (e1))) != (e1)) ### DisjTree 1851 1835 1878 568 % 8.25/8.43 1880. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ### ConjTree 1192 % 8.25/8.43 1881. 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(e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 846 % 8.25/8.43 1882. 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(((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (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 (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (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))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1824 1825 371 373 378 379 651 895 401 652 1826 1827 409 1246 1021 1022 1828 1199 415 1829 417 418 420 421 896 427 1830 1831 847 848 1024 1025 1832 1833 490 1377 1247 739 860 655 552 553 1879 643 1880 1248 867 1030 1881 659 1228 871 1249 940 878 879 1031 1374 1233 883 884 890 1032 1033 % 8.25/8.43 1883. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (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 (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((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 (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1882 % 8.25/8.43 1884. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 1855 632 1192 1141 % 8.25/8.43 1885. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 163 1673 686 1884 % 8.25/8.43 1886. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 708 1663 1885 621 % 8.25/8.43 1887. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((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) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 163 1673 686 1619 % 8.25/8.43 1888. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (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 (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 16 621 1764 1887 % 8.25/8.43 1889. (((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)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1886 996 827 1888 % 8.25/8.43 1890. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (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 (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1889 131 87 1350 % 8.25/8.43 1891. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((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)) ((e0) != (e2)) ### DisjTree 64 1890 70 1773 % 8.25/8.43 1892. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e2)) ((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 (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1891 1261 632 636 % 8.25/8.43 1893. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((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)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1892 1700 908 1701 % 8.25/8.43 1894. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 1855 1063 87 1893 % 8.25/8.43 1895. (((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 (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ### DisjTree 960 1613 1894 1693 % 8.25/8.43 1896. ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((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 (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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 (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e2)) (((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 (e2) (e2)) = (e2)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1706 905 827 1895 % 8.25/8.43 1897. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (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 (e0) (e0)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((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)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1892 223 908 1896 % 8.25/8.43 1898. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1885 1261 632 1100 % 8.25/8.43 1899. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ### DisjTree 594 201 260 1663 % 8.25/8.43 1900. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1899 1350 866 1619 % 8.25/8.43 1901. (((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 (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ### DisjTree 960 1613 1894 1900 % 8.25/8.43 1902. ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((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 (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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 (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (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 (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1665 605 827 1901 % 8.25/8.43 1903. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((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 (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (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))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e3)) = (e0)) ((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)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1898 354 908 1902 % 8.25/8.43 1904. ((op (e3) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((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)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1892 223 908 1894 % 8.25/8.43 1905. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((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 (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (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) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1903 119 1904 % 8.25/8.43 1906. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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 (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e2)) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1579 1897 119 1905 % 8.25/8.43 1907. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (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 (e0) (e0)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1906 131 87 1350 % 8.25/8.43 1908. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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 (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 1543 20 1907 1261 % 8.25/8.43 1909. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ### DisjTree 960 1613 1855 201 % 8.25/8.43 1910. (((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)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1909 1224 908 338 % 8.25/8.44 1911. (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1910 119 1904 % 8.25/8.44 1912. ((op (e0) (e0)) != (op (e0) (e2))) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (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))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((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 (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1543 1309 1911 % 8.25/8.44 1913. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e2)) ((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 (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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 (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e2)) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1897 1664 87 1350 % 8.25/8.44 1914. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (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 (e0) (e0)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (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 (e2) (e0))) ### DisjTree 1579 1913 119 1903 % 8.25/8.44 1915. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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 (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e2)) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1914 131 87 1350 % 8.25/8.44 1916. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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)) = (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))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((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 (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1912 20 1915 628 % 8.25/8.44 1917. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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)) = (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))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((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 (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1912 20 1913 628 % 8.25/8.44 1918. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((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 (e0) (e1)) != (op (e2) (e1))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (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))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((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 (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 244 1916 1917 1613 % 8.25/8.44 1919. ((op (e3) (op (e3) (e1))) != (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((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 (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (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 (e0) (e0)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((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 (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1722 1908 1918 621 % 8.25/8.44 1920. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ### DisjTree 960 1613 1894 1692 % 8.25/8.44 1921. ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1898 354 908 1920 % 8.25/8.44 1922. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ### DisjTree 1921 1664 425 1673 % 8.25/8.44 1923. ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) (((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 (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (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) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1922 1664 87 275 % 8.25/8.44 1924. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ### DisjTree 1910 20 1923 628 % 8.25/8.44 1925. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (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))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1924 119 1904 % 8.25/8.44 1926. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ### DisjTree 960 1613 1894 1899 % 8.25/8.44 1927. ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1898 354 908 1926 % 8.25/8.44 1928. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1927 119 1904 % 8.25/8.44 1929. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ((op (e1) (e2)) != (op (e1) (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 1579 1925 119 1928 % 8.25/8.44 1930. ((op (e2) (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))))) ((op (e1) (e2)) != (op (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))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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 (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1929 1664 425 1673 % 8.25/8.44 1931. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ((op (e1) (e2)) != (op (e1) (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))) ((op (e2) (e1)) = (e1)) ### DisjTree 1930 1664 87 1350 % 8.25/8.44 1932. ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((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)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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 (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((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) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((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))))) ### DisjTree 1911 20 1931 628 % 8.25/8.44 1933. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (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))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e2)) = (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))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (op (e3) (e1))) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1932 1925 1613 % 8.25/8.44 1934. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (op (e3) (e2))) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e3))) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (op (e3) (e0))) != (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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 (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (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 (e1) (e3)) != (op (e2) (e3))) ((op (e3) (op (e3) (e1))) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 64 1919 1309 1933 % 8.25/8.44 1935. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e3) (op (e3) (e1))) != (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((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 (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e2) (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 (e0) (e0)) != (op (e0) (e2))) ((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 (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (op (e3) (e0))) != (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (op (e3) (e3))) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((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 (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1934 1912 1892 568 % 8.25/8.44 1936. (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((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 (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (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 (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e0)) != (op (e2) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (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 (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1935 % 8.25/8.44 1937. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e1)) /\ 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/\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e3) (e0)) = 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= (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((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 (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) 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(e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (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)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((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)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((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 (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((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) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((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))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1777 1883 39 1936 % 8.25/8.45 1938. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (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))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e2)) = (e2)) ((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 (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (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))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e2) (e0)) != (op (e2) (e3))) (((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) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e2)) != (op (e0) (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op 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((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (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)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (op (e1) (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) (e3))) ### DisjTree 16 1937 24 888 % 8.25/8.45 1939. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. 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(((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (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))))) ((e1) != (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))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (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) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 8 1686 1938 876 % 8.25/8.45 1940. (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((((op (e0) (op (e0) (e0))) != (e0)) /\ (((op (e0) (op (e0) (e1))) != (e1)) /\ (((op (e0) (op (e0) (e2))) != (e2)) /\ ((op (e0) (op (e0) (e3))) != (e3))))) \/ ((((op (e1) (op (e1) (e0))) != (e0)) /\ (((op (e1) (op (e1) (e1))) != (e1)) /\ (((op (e1) (op (e1) (e2))) != (e2)) /\ ((op (e1) (op (e1) (e3))) != (e3))))) \/ ((((op (e2) (op (e2) (e0))) != (e0)) /\ (((op (e2) (op (e2) (e1))) != (e1)) /\ (((op (e2) (op (e2) (e2))) != (e2)) /\ ((op (e2) (op (e2) (e3))) != (e3))))) \/ (((op (e3) (op (e3) (e0))) != (e0)) /\ (((op (e3) (op (e3) (e1))) != (e1)) /\ (((op (e3) (op (e3) (e2))) != (e2)) /\ ((op (e3) (op (e3) (e3))) != (e3)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((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) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 4 1540 1656 1939 % 8.25/8.45 1941. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (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) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = 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(((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 1940 1503 1148 846 % 8.25/8.45 1942. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((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) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 1941 % 8.25/8.45 1943. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((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) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((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))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 1942 % 8.25/8.45 1944. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (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 (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((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) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ### ConjTree 1943 % 8.25/8.46 1945. 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (-. 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(((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. 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(op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ ((op (e3) (e2)) != (op (e3) (e3)))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 1944 % 8.25/8.46 1946. 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/\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((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) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e1) (e0)) = (e0)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e2) (e0)) = (e0)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e3) (e0)) = (e0)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e0) (e1)) = (e1)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((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) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ (((op 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(((op (e1) (e3)) = (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e2) (e1)) = (e1)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ (((op (e3) (e1)) = (e1)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e0) (e2)) = (e2)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e1) (e2)) = (e2)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ (((op (e3) (e2)) = (e2)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((op (e3) (e2)) = (e3))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (e3) (e3))) /\ (((e0) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e2) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e1) = (op (op (e3) (e3)) (e3)))))) (-. (((e0) = (op (e3) (e3))) /\ (((e1) = (op (op (op (e3) (e3)) (e3)) (op (e3) (e3)))) /\ ((e2) = (op (op (e3) (e3)) (e3)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e3) = (op (op (op (e2) (e2)) (e2)) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (op (op (e0) (e0)) (e0)) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (op (op (e1) (e1)) (e1)) (op (e1) (e1)))) /\ ((e3) = (op (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 1945 % 8.25/8.46 % SZS output end Proof % 8.25/8.46 (* END-PROOF *) %------------------------------------------------------------------------------