%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG156+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:05:49 EDT 2022 % Result : Unsatisfiable 8.75s 8.99s % Output : Proof 9.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ALG156+1 : TPTP v8.1.0. Released v2.7.0. % 0.06/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n025.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 9 00:42:50 EDT 2022 % 0.13/0.34 % CPUTime : % 8.75/8.99 % SZS status Theorem % 8.75/8.99 (* PROOF-FOUND *) % 8.75/8.99 (* BEGIN-PROOF *) % 8.75/8.99 % SZS output start Proof % 8.75/8.99 1. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 8.75/8.99 2. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 1 % 8.75/8.99 3. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 8.75/8.99 4. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ### ConjTree 3 % 8.75/8.99 5. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 8.75/8.99 6. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ### ConjTree 5 % 8.75/8.99 7. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 8.75/8.99 8. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ### ConjTree 7 % 8.75/8.99 9. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.75/8.99 10. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### ConjTree 9 % 8.75/8.99 11. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 8.75/8.99 12. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 11 % 8.75/8.99 13. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.75/8.99 14. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.75/8.99 15. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 8.75/8.99 16. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 13 14 15 % 8.75/8.99 17. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 16 % 8.75/8.99 18. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 16 % 8.75/8.99 19. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 8.75/8.99 20. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ### ConjTree 19 % 8.75/8.99 21. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.75/8.99 22. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.75/8.99 23. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 8.75/8.99 24. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 21 22 23 % 8.75/8.99 25. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 24 % 8.75/8.99 26. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 8.75/8.99 27. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 26 % 8.75/8.99 28. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 24 % 8.75/8.99 29. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom % 8.75/8.99 30. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ### ConjTree 29 % 8.75/8.99 31. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.75/8.99 32. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.75/8.99 33. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 8.75/8.99 34. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 31 32 33 % 8.75/8.99 35. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 34 % 8.75/8.99 36. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 34 % 8.75/8.99 37. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 8.75/8.99 38. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 37 % 8.75/8.99 39. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 8.75/8.99 40. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 39 % 8.75/8.99 41. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 8.75/8.99 42. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ### ConjTree 41 % 8.75/8.99 43. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.75/8.99 44. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e2)) != (e0)) ### ConjTree 43 % 8.75/8.99 45. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.75/8.99 46. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) != (e0)) ### ConjTree 45 % 8.75/8.99 47. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 8.75/8.99 48. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### ConjTree 47 % 8.75/8.99 49. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 8.75/8.99 50. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 49 % 8.75/8.99 51. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 8.75/8.99 52. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ### ConjTree 51 % 8.75/8.99 53. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 8.75/8.99 54. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ### ConjTree 53 % 8.75/8.99 55. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 8.75/8.99 56. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 8.75/8.99 57. ((e0) != (e0)) ### NotEqual % 8.75/8.99 58. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 55 56 57 % 8.75/8.99 59. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### ConjTree 58 % 8.75/8.99 60. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 8.75/8.99 61. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ### ConjTree 60 % 8.75/8.99 62. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 8.75/8.99 63. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 62 % 8.75/8.99 64. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/8.99 65. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/8.99 66. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 8.75/8.99 67. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e0)) ### TransEq 64 65 66 % 8.75/8.99 68. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/8.99 69. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 8.75/8.99 70. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 8.75/8.99 71. ((e1) != (e1)) ### NotEqual % 8.75/8.99 72. ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) ### TransEq 69 70 71 % 8.75/8.99 73. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/8.99 74. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.75/8.99 75. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.75/8.99 76. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 8.75/8.99 77. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 74 75 76 % 8.75/8.99 78. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 8.75/8.99 79. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 8.75/8.99 80. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 8.75/8.99 81. ((op (e1) (op (e1) (e1))) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 71 80 % 8.75/8.99 82. ((e0) != (op (e1) (op (e1) (e1)))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 81 57 % 8.75/8.99 83. ((op (e1) (op (e1) (e1))) != (e0)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans 81 57 % 8.75/8.99 84. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e0)) ### NotEqual 83 71 % 8.75/8.99 85. ((e2) != (e2)) ### NotEqual % 8.75/9.00 86. ((e2) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 84 85 % 8.75/9.00 87. (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### DisjTree 79 82 86 % 8.75/9.00 88. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ### DisjTree 73 77 78 87 % 8.75/9.00 89. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 68 72 88 % 8.75/9.00 90. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 91. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.75/9.00 92. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.75/9.00 93. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 8.75/9.00 94. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 91 92 93 % 8.75/9.00 95. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 96. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 97. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 8.75/9.00 98. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq 95 96 97 % 8.75/9.00 99. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 8.75/9.00 100. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 8.75/9.00 101. ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e0)) ### TransEq 99 100 85 % 8.75/9.00 102. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.75/9.00 103. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.75/9.00 104. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.75/9.00 105. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 8.75/9.00 106. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 103 104 105 % 8.75/9.00 107. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 102 106 % 8.75/9.00 108. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.75/9.00 109. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.75/9.00 110. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 8.75/9.00 111. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 108 109 110 % 8.75/9.00 112. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.75/9.00 113. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.75/9.00 114. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 8.75/9.00 115. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq-sym 112 113 114 % 8.75/9.00 116. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 107 111 115 % 8.75/9.00 117. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 8.75/9.00 118. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.75/9.00 119. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.75/9.00 120. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 8.75/9.00 121. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 118 119 120 % 8.75/9.00 122. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.75/9.00 123. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.75/9.00 124. ((e0) != (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 122 123 57 % 8.75/9.00 125. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 116 117 121 124 % 8.75/9.00 126. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 90 72 125 % 8.75/9.00 127. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.75/9.00 128. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.75/9.00 129. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 8.75/9.00 130. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 127 128 129 % 8.75/9.00 131. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 89 126 130 % 8.75/9.00 132. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 131 % 8.75/9.00 133. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 8.75/9.00 134. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 8.75/9.00 135. ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 133 134 57 % 8.75/9.00 136. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### ConjTree 135 % 8.75/9.00 137. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 8.75/9.00 138. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ### ConjTree 137 % 8.75/9.00 139. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 8.75/9.00 140. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 8.75/9.00 141. ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 139 140 71 % 8.75/9.00 142. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 143. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 144. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 145. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 146. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 147. ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 145 146 57 % 8.75/9.00 148. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 149. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 8.75/9.00 150. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 8.75/9.00 151. ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### TransEq 149 150 85 % 8.75/9.00 152. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 8.75/9.00 153. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 8.75/9.00 154. ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 152 153 85 % 8.75/9.00 155. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 8.75/9.00 156. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 101 154 155 % 8.75/9.00 157. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.75/9.00 158. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.75/9.00 159. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 8.75/9.00 160. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 157 158 159 % 8.75/9.00 161. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 8.75/9.00 162. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 8.75/9.00 163. ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 161 162 71 % 8.75/9.00 164. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 8.75/9.00 165. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 8.75/9.00 166. ((op (e2) (op (e2) (e2))) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 85 165 % 8.75/9.00 167. ((e1) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 166 71 % 8.75/9.00 168. ((op (e2) (op (e2) (e2))) != (e1)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans 166 71 % 8.75/9.00 169. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e1)) ### NotEqual 168 85 % 8.75/9.00 170. ((e0) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e1) (e2)) = (e0)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 169 57 % 8.75/9.00 171. (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### DisjTree 164 167 170 % 8.75/9.00 172. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 156 160 163 171 % 8.75/9.00 173. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 174. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 175. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.75/9.00 176. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.75/9.00 177. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 8.75/9.00 178. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 175 176 177 % 8.75/9.00 179. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 8.75/9.00 180. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 8.75/9.00 181. ((op (e1) (op (e1) (e1))) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 71 180 % 8.75/9.00 182. ((e0) != (op (e1) (op (e1) (e1)))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans-sym 181 57 % 8.75/9.00 183. ((op (e1) (op (e1) (e1))) != (e0)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans 181 57 % 8.75/9.00 184. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) ### NotEqual 183 71 % 8.75/9.00 185. ((e3) != (e3)) ### NotEqual % 8.75/9.00 186. ((e3) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e0) (e1)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans-sym 184 185 % 8.75/9.00 187. (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### DisjTree 179 182 186 % 8.75/9.00 188. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.75/9.00 189. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e0)) ### DisjTree 174 178 187 188 % 8.75/9.00 190. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 8.75/9.00 191. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 8.75/9.00 192. ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ### TransEq 190 191 71 % 8.75/9.00 193. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 173 189 192 % 8.75/9.00 194. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.75/9.00 195. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 8.75/9.00 196. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 8.75/9.00 197. ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 195 196 85 % 8.75/9.00 198. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 8.75/9.00 199. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 197 154 198 % 8.75/9.00 200. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.75/9.00 201. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.75/9.00 202. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 8.75/9.00 203. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 200 201 202 % 8.75/9.00 204. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 199 160 163 203 % 8.75/9.00 205. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 8.75/9.00 206. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 8.75/9.00 207. ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### TransEq 205 206 185 % 8.75/9.00 208. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 193 194 204 207 % 8.75/9.00 209. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 148 172 208 % 8.75/9.00 210. ((e0) != (e1)) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 144 209 192 % 8.75/9.00 211. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 212. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 213. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 214. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq 211 212 213 % 8.75/9.00 215. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 216. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 217. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 218. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 215 216 217 % 8.75/9.00 219. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.75/9.00 220. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.75/9.00 221. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 222. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 219 220 221 % 8.75/9.00 223. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.75/9.00 224. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.75/9.00 225. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 8.75/9.00 226. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 223 224 225 % 8.75/9.00 227. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.75/9.00 228. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.75/9.00 229. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.75/9.00 230. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 227 228 229 % 8.75/9.00 231. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 226 94 230 % 8.75/9.00 232. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 218 222 231 % 8.75/9.00 233. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.75/9.00 234. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.75/9.00 235. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 8.75/9.00 236. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 233 234 235 % 8.75/9.00 237. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 238. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 239. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 237 238 71 % 8.75/9.00 240. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 241. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.75/9.00 242. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.75/9.00 243. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.75/9.00 244. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 245. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 242 243 244 % 8.75/9.00 246. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 8.75/9.00 247. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 8.75/9.00 248. ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 246 247 85 % 8.75/9.00 249. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 8.75/9.00 250. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 8.75/9.00 251. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 249 250 85 % 8.75/9.00 252. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.75/9.00 253. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.75/9.00 254. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 8.75/9.00 255. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 252 253 254 % 8.75/9.00 256. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.75/9.00 257. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.75/9.00 258. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 8.75/9.00 259. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 256 257 258 % 8.75/9.00 260. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 255 163 259 % 8.75/9.00 261. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 248 260 % 8.75/9.00 262. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 261 171 % 8.75/9.00 263. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 187 241 204 262 % 8.75/9.00 264. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.75/9.00 265. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.75/9.00 266. ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 264 265 71 % 8.75/9.00 267. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 263 121 266 % 8.75/9.00 268. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 240 267 192 % 8.75/9.00 269. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 270. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 271. ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 269 270 71 % 8.75/9.00 272. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 273. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 274. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 8.75/9.00 275. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 8.75/9.00 276. ((op (e2) (op (e2) (e2))) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 85 275 % 8.75/9.00 277. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans-sym 276 57 % 8.75/9.00 278. ((op (e2) (op (e2) (e2))) != (e0)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans 276 57 % 8.75/9.00 279. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e0)) ### NotEqual 278 85 % 8.75/9.00 280. ((e3) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans-sym 279 185 % 8.75/9.00 281. (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### DisjTree 274 277 280 % 8.75/9.00 282. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 281 171 % 8.75/9.00 283. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 273 282 208 % 8.75/9.00 284. ((e0) != (e1)) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 272 283 192 % 8.75/9.00 285. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 8.75/9.00 286. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 8.75/9.00 287. ((e2) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 285 286 85 % 8.75/9.00 288. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 271 284 287 % 8.75/9.00 289. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 239 268 288 % 8.75/9.00 290. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 8.75/9.00 291. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 8.75/9.00 292. ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 290 291 71 % 8.75/9.00 293. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 178 % 8.75/9.00 294. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 295. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.75/9.00 296. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.75/9.00 297. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 8.75/9.00 298. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 295 296 297 % 8.75/9.00 299. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.75/9.00 300. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.75/9.00 301. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 8.75/9.00 302. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq 299 300 301 % 8.75/9.00 303. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.75/9.00 304. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 294 298 302 303 % 8.75/9.00 305. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.75/9.00 306. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 307. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 308. ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 306 307 57 % 8.75/9.00 309. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 8.75/9.00 310. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 8.75/9.00 311. ((e0) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) = (e1)) ### TransEq-sym 309 310 57 % 8.75/9.00 312. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 8.75/9.00 313. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e0)) = (e2)) ### ConjTree 312 % 8.75/9.00 314. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 8.75/9.00 315. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e0)) = (e3)) ### ConjTree 314 % 8.75/9.00 316. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### ConjTree 236 % 8.75/9.00 317. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 318. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 319. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 320. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 8.75/9.00 321. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq 318 319 320 % 8.75/9.00 322. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.75/9.00 323. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.75/9.00 324. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.75/9.00 325. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 322 323 324 % 8.75/9.00 326. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 321 94 325 % 8.75/9.00 327. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 8.75/9.00 328. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 8.75/9.00 329. ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 327 328 71 % 8.75/9.00 330. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 8.75/9.00 331. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 8.75/9.00 332. ((e0) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 330 331 57 % 8.75/9.00 333. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 326 329 332 % 8.75/9.00 334. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 317 72 333 % 8.75/9.00 335. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 336. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.75/9.00 337. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 8.75/9.00 338. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 335 336 337 % 8.75/9.00 339. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.75/9.00 340. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.75/9.00 341. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 8.75/9.00 342. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq-sym 339 340 341 % 8.75/9.00 343. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 344. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 345. ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) ### TransEq 343 344 185 % 8.75/9.00 346. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.75/9.00 347. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.75/9.00 348. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 8.75/9.00 349. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 346 347 348 % 8.75/9.00 350. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.75/9.00 351. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.75/9.00 352. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 8.75/9.00 353. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 350 351 352 % 8.75/9.00 354. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.75/9.00 355. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.75/9.00 356. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 8.75/9.00 357. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq-sym 354 355 356 % 8.75/9.00 358. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 345 349 353 357 % 8.75/9.00 359. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 160 342 358 % 8.75/9.00 360. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.75/9.00 361. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.75/9.00 362. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 8.75/9.00 363. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 360 361 362 % 8.75/9.00 364. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 363 % 8.75/9.00 365. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 359 364 151 345 % 8.75/9.00 366. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.75/9.00 367. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 8.75/9.00 368. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 8.75/9.00 369. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 366 367 368 % 8.75/9.00 370. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 371. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 87 329 332 % 8.75/9.00 372. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 370 72 371 % 8.75/9.00 373. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 374. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.75/9.00 375. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.75/9.00 376. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 8.75/9.00 377. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 374 375 376 % 8.75/9.00 378. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 379. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 8.75/9.00 380. ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 378 379 57 % 8.75/9.00 381. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 8.75/9.00 382. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 8.75/9.00 383. ((e1) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 381 382 71 % 8.75/9.00 384. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 380 248 383 % 8.75/9.00 385. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 386. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 8.75/9.00 387. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 8.75/9.00 388. ((e2) != (op (e1) (op (e1) (e1)))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 81 85 % 8.75/9.00 389. ((op (e1) (op (e1) (e1))) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans 81 85 % 8.75/9.00 390. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) ### NotEqual 389 71 % 8.75/9.00 391. ((e0) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 390 57 % 8.75/9.00 392. (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### DisjTree 387 388 391 % 8.75/9.00 393. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 392 329 332 % 8.75/9.00 394. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 386 121 393 % 8.75/9.00 395. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.75/9.00 396. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.75/9.00 397. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 8.75/9.00 398. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 395 396 397 % 8.75/9.00 399. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 311 353 398 % 8.75/9.00 400. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 384 385 394 399 % 8.75/9.00 401. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 373 72 400 % 8.75/9.00 402. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 8.75/9.00 403. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 8.75/9.00 404. ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 402 403 71 % 8.75/9.00 405. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 372 401 404 % 8.75/9.00 406. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 405 363 151 345 % 8.75/9.00 407. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 334 365 369 406 % 8.75/9.00 408. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 407 % 8.75/9.00 409. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 377 % 8.75/9.00 410. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### ConjTree 231 % 8.75/9.00 411. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 8.75/9.00 412. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 411 % 8.75/9.00 413. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 8.75/9.00 414. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 413 % 8.75/9.00 415. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 416. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e1)) != (e0)) ### ConjTree 415 % 8.75/9.00 417. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 8.75/9.00 418. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ### ConjTree 417 % 8.75/9.00 419. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 8.75/9.00 420. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e0)) = (e3)) ### ConjTree 419 % 8.75/9.00 421. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.75/9.00 422. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.75/9.00 423. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 8.75/9.00 424. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 421 422 423 % 8.75/9.00 425. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 424 % 8.75/9.00 426. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 8.75/9.00 427. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 426 % 8.75/9.00 428. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 8.75/9.00 429. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ### ConjTree 428 % 8.75/9.00 430. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 424 % 8.75/9.00 431. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 8.75/9.00 432. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ### ConjTree 431 % 8.75/9.00 433. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 8.75/9.00 434. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ### ConjTree 433 % 8.75/9.00 435. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 8.75/9.00 436. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 435 % 8.75/9.00 437. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 8.75/9.00 438. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ### ConjTree 437 % 8.75/9.00 439. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 377 % 8.75/9.00 440. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 8.75/9.00 441. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 8.75/9.00 442. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 8.75/9.00 443. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 440 441 442 % 8.75/9.00 444. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 443 % 8.75/9.00 445. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 8.75/9.00 446. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ### ConjTree 445 % 8.75/9.00 447. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 8.75/9.00 448. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 447 % 8.75/9.00 449. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 8.75/9.00 450. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 449 % 8.75/9.00 451. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.75/9.00 452. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e1)) != (e0)) ### ConjTree 451 % 8.75/9.00 453. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 8.75/9.00 454. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e0)) = (e2)) ### ConjTree 453 % 8.75/9.00 455. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 8.75/9.00 456. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ### ConjTree 455 % 8.75/9.00 457. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.75/9.00 458. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 8.75/9.00 459. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 460. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 457 458 459 % 8.75/9.00 461. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 460 % 8.75/9.00 462. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 8.75/9.00 463. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 462 % 8.75/9.00 464. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 460 % 8.75/9.00 465. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 8.75/9.00 466. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ### ConjTree 465 % 8.75/9.00 467. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### ConjTree 236 % 8.75/9.00 468. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 8.75/9.00 469. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 8.75/9.00 470. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 8.75/9.00 471. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 468 469 470 % 8.75/9.00 472. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 471 % 8.75/9.00 473. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 8.75/9.00 474. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 473 % 8.75/9.00 475. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 8.75/9.00 476. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ### ConjTree 475 % 8.75/9.00 477. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 8.75/9.00 478. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ### ConjTree 477 % 8.75/9.00 479. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 8.75/9.00 480. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ### ConjTree 479 % 8.75/9.00 481. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 8.75/9.00 482. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ### ConjTree 481 % 8.75/9.00 483. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 8.75/9.00 484. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 483 % 8.75/9.00 485. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 313 315 48 50 52 54 316 61 63 408 409 138 410 412 414 416 418 420 425 427 429 430 432 434 436 438 439 444 446 448 450 452 454 456 461 463 464 466 467 472 474 476 478 480 482 484 % 8.78/9.00 486. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 8.78/9.00 487. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 8.78/9.00 488. ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ### TransEq 486 487 185 % 8.78/9.00 489. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.78/9.00 490. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.78/9.00 491. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 8.78/9.00 492. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 489 490 491 % 8.78/9.00 493. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e3) (e2)) = (e0)) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### DisjTree 485 255 488 492 % 8.78/9.00 494. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.78/9.00 495. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e3)) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 308 311 493 494 % 8.78/9.01 496. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 8.78/9.01 497. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 8.78/9.01 498. ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e1)) ### TransEq 496 497 185 % 8.78/9.01 499. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 193 305 495 498 % 8.78/9.01 500. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != 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(e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) 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(e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 193 292 500 % 8.78/9.01 502. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 8.78/9.01 503. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 8.78/9.01 504. ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 502 503 71 % 8.78/9.01 505. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 193 292 287 % 8.78/9.01 506. ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. 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/\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 501 504 505 % 8.78/9.01 507. 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(e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != 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(e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 232 226 151 506 % 8.78/9.01 508. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.78/9.01 509. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.78/9.01 510. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 8.78/9.01 511. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 508 509 510 % 8.78/9.01 512. 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(((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 232 289 507 511 % 8.78/9.01 513. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 8.78/9.01 514. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 8.78/9.01 515. ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) ### TransEq 513 514 85 % 8.78/9.01 516. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 8.78/9.01 517. ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 512 515 154 516 % 8.78/9.01 518. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.78/9.01 519. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 189 518 199 498 % 8.78/9.01 520. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 519 304 163 171 % 8.78/9.01 521. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.78/9.01 522. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.78/9.01 523. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 8.78/9.01 524. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 521 522 523 % 8.78/9.01 525. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.78/9.01 526. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 8.78/9.01 527. ((op (e2) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 512 197 154 526 % 8.78/9.01 528. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 8.78/9.01 529. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 8.78/9.01 530. ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ### TransEq 528 529 185 % 8.78/9.01 531. ((op (e3) (e1)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != 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\/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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(e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 193 525 527 530 % 8.78/9.02 532. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) 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(e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 520 524 101 531 % 8.78/9.02 533. 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(e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = 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/\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ### DisjTree 210 178 517 532 % 8.78/9.02 534. ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 208 293 517 311 % 8.78/9.02 535. ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 143 533 534 % 8.78/9.02 536. 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 142 535 192 % 8.80/9.02 537. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.02 538. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 8.80/9.02 539. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 8.80/9.02 540. ((op (e0) (op (e0) (e0))) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ### NotEqual 57 539 % 8.80/9.02 541. ((e3) != (op (e0) (op (e0) (e0)))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 540 185 % 8.80/9.02 542. ((op (e0) (op (e0) (e0))) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans 540 185 % 8.80/9.02 543. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ### NotEqual 542 57 % 8.80/9.02 544. ((e2) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 543 85 % 8.80/9.02 545. (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### DisjTree 538 541 544 % 8.80/9.02 546. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.80/9.02 547. ((op (e3) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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(e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 545 546 527 498 % 8.80/9.02 548. (-. 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(e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op 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(e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 209 178 517 547 % 8.80/9.02 549. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 537 548 192 % 8.80/9.02 550. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = 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(e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 536 512 549 % 8.80/9.03 551. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.03 552. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 239 178 304 520 % 8.80/9.03 553. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 551 552 192 % 8.80/9.03 554. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 553 504 505 % 8.80/9.03 555. ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 550 210 554 511 % 8.80/9.03 556. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) ### ConjTree 555 % 8.80/9.03 557. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.03 558. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) != (e0)) ### ConjTree 557 % 8.80/9.03 559. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.03 560. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.03 561. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.03 562. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### ConjTree 321 % 8.80/9.03 563. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.03 564. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 8.80/9.03 565. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.80/9.03 566. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.80/9.03 567. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 8.80/9.03 568. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 565 566 567 % 8.80/9.03 569. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 570. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 571. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 8.80/9.03 572. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 569 570 571 % 8.80/9.03 573. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 574. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 575. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 8.80/9.03 576. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 573 574 575 % 8.80/9.03 577. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.80/9.03 578. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.80/9.03 579. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 8.80/9.03 580. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 577 578 579 % 8.80/9.03 581. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.80/9.03 582. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 8.80/9.03 583. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 8.80/9.03 584. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 581 582 583 % 8.80/9.03 585. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 586. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 587. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.80/9.03 588. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq 585 586 587 % 8.80/9.03 589. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.80/9.03 590. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 8.80/9.03 591. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 8.80/9.03 592. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 589 590 591 % 8.80/9.03 593. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 106 178 588 592 % 8.80/9.03 594. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 584 171 593 % 8.80/9.03 595. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 8.80/9.03 596. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 197 171 259 % 8.80/9.03 597. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 595 596 % 8.80/9.03 598. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 572 576 594 597 % 8.80/9.03 599. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 8.80/9.03 600. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 8.80/9.03 601. ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ### TransEq 599 600 185 % 8.80/9.03 602. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.80/9.03 603. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 8.80/9.03 604. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 8.80/9.03 605. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 602 603 604 % 8.80/9.03 606. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.80/9.03 607. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.80/9.03 608. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 8.80/9.03 609. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 606 607 608 % 8.80/9.03 610. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 605 218 545 609 % 8.80/9.03 611. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 598 207 601 610 % 8.80/9.03 612. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 568 611 357 % 8.80/9.03 613. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 515 564 612 % 8.80/9.03 614. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 563 613 % 8.80/9.03 615. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 8.80/9.03 616. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 8.80/9.03 617. ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 615 616 71 % 8.80/9.03 618. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 614 617 197 207 % 8.80/9.03 619. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 8.80/9.03 620. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 515 619 203 % 8.80/9.03 621. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 620 % 8.80/9.03 622. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 562 618 72 621 % 8.80/9.03 623. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 560 561 101 622 % 8.80/9.03 624. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 559 623 107 % 8.80/9.03 625. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 624 % 8.80/9.03 626. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.03 627. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 8.80/9.03 628. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 627 357 % 8.80/9.03 629. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 321 628 72 620 % 8.80/9.03 630. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 626 629 107 % 8.80/9.03 631. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.03 632. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.03 633. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 226 % 8.80/9.03 634. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 8.80/9.03 635. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e0)) = (e1)) ### ConjTree 634 % 8.80/9.03 636. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 8.80/9.03 637. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 8.80/9.03 638. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 8.80/9.03 639. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 636 637 638 % 8.80/9.03 640. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 8.80/9.03 641. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 639 515 640 357 % 8.80/9.03 642. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 641 % 8.80/9.03 643. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### ConjTree 135 % 8.80/9.03 644. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 8.80/9.03 645. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 8.80/9.03 646. ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ### TransEq 644 645 85 % 8.80/9.03 647. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.03 648. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 87 646 647 % 8.80/9.03 649. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 8.80/9.03 650. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 8.80/9.03 651. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 649 650 71 % 8.80/9.03 652. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 8.80/9.03 653. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 8.80/9.03 654. ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 652 653 85 % 8.80/9.03 655. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 8.80/9.03 656. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 8.80/9.03 657. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 8.80/9.03 658. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 655 656 657 % 8.80/9.03 659. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 654 121 658 % 8.80/9.03 660. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 8.80/9.03 661. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 8.80/9.03 662. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 8.80/9.03 663. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 660 661 662 % 8.80/9.03 664. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 648 659 663 % 8.80/9.03 665. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 664 % 8.80/9.03 666. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 8.80/9.03 667. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e0)) = (e1)) ### ConjTree 666 % 8.80/9.03 668. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.03 669. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e2)) != (e0)) ### ConjTree 668 % 8.80/9.03 670. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### ConjTree 321 % 8.80/9.03 671. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 8.80/9.03 672. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 8.80/9.03 673. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 8.80/9.03 674. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 671 672 673 % 8.80/9.03 675. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.03 676. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.03 677. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 8.80/9.03 678. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 675 676 677 % 8.80/9.03 679. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 8.80/9.03 680. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 674 498 678 679 % 8.80/9.03 681. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 680 % 8.80/9.03 682. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### ConjTree 58 % 8.80/9.03 683. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 8.80/9.03 684. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 8.80/9.03 685. ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 683 684 57 % 8.80/9.03 686. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.80/9.03 687. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.80/9.03 688. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 686 687 71 % 8.80/9.03 689. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 8.80/9.03 690. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 8.80/9.03 691. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 8.80/9.03 692. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 689 690 691 % 8.80/9.03 693. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 654 692 332 % 8.80/9.03 694. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 685 187 693 % 8.80/9.03 695. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 8.80/9.03 696. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 8.80/9.03 697. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 8.80/9.03 698. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 695 696 697 % 8.80/9.03 699. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 700. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 701. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 8.80/9.03 702. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq 699 700 701 % 8.80/9.03 703. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 654 692 702 % 8.80/9.03 704. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 694 698 703 % 8.80/9.03 705. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### ConjTree 704 % 8.80/9.03 706. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 44 46 48 50 52 54 59 61 63 364 136 138 633 412 414 635 418 558 562 427 429 642 432 434 436 438 643 665 446 448 450 667 669 456 670 463 681 466 682 705 474 476 478 480 482 484 % 8.80/9.03 707. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 8.80/9.03 708. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 8.80/9.03 709. ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) ### TransEq 707 708 185 % 8.80/9.03 710. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 651 424 709 % 8.80/9.03 711. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 710 % 8.80/9.03 712. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.80/9.03 713. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 8.80/9.03 714. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 8.80/9.03 715. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 712 713 714 % 8.80/9.03 716. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 8.80/9.03 717. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 718. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.03 719. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 8.80/9.03 720. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 717 718 719 % 8.80/9.03 721. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.80/9.03 722. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.80/9.03 723. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 8.80/9.03 724. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 721 722 723 % 8.80/9.03 725. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.03 726. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.03 727. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 8.80/9.03 728. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 725 726 727 % 8.80/9.03 729. 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(e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 724 728 730 580 % 8.80/9.04 732. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.04 733. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.04 734. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.04 735. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 8.80/9.04 736. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 733 734 735 % 8.80/9.04 737. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 736 % 8.80/9.04 738. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 8.80/9.04 739. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 732 678 737 738 % 8.80/9.04 740. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 363 731 739 % 8.80/9.04 741. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.04 742. 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(e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) 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(e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 740 741 646 % 8.80/9.04 743. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 8.80/9.04 744. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 8.80/9.04 745. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 8.80/9.04 746. ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ### TransEq 744 745 85 % 8.80/9.04 747. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.04 748. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 8.80/9.04 749. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 8.80/9.04 750. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 747 748 749 % 8.80/9.04 751. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 750 398 663 259 % 8.80/9.04 752. 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 742 743 746 751 % 8.80/9.04 753. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 8.80/9.04 754. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 8.80/9.04 755. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 8.80/9.04 756. ((e0) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e1)) ### TransEq-sym 754 755 57 % 8.80/9.04 757. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (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))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) 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(e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 740 753 746 756 % 8.80/9.04 758. 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\/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 752 646 757 % 8.80/9.04 759. 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(e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ 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((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = 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(e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != 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((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.04 761. 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!= (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 759 760 646 % 8.80/9.04 762. 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\/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### ConjTree 761 % 8.80/9.04 763. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 471 % 8.80/9.04 764. 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(((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 44 315 48 50 52 54 59 61 63 364 409 138 633 412 414 635 418 420 562 427 429 711 432 434 436 438 439 762 446 448 450 667 669 456 670 463 464 466 763 472 474 476 478 480 482 484 % 8.80/9.04 765. 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/\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### Or 706 764 % 8.80/9.04 766. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op 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(((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 765 730 % 8.80/9.05 767. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 197 207 % 8.80/9.05 768. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.80/9.05 769. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.80/9.05 770. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 8.80/9.05 771. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq-sym 768 769 770 % 8.80/9.05 772. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) 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(e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = 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/\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ 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(e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = 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/\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 631 773 107 % 8.80/9.05 775. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.80/9.05 776. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.80/9.05 777. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 8.80/9.05 778. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 775 776 777 % 8.80/9.05 779. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.05 780. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 8.80/9.05 781. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 8.80/9.05 782. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 8.80/9.05 783. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq 780 781 782 % 8.80/9.05 784. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 271 783 515 311 % 8.80/9.05 785. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.05 786. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 8.80/9.05 787. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 166 57 % 8.80/9.05 788. ((op (e2) (op (e2) (e2))) != (e0)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans 166 57 % 8.80/9.05 789. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e0)) ### NotEqual 788 85 % 8.80/9.05 790. ((e1) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 789 71 % 8.80/9.05 791. (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### DisjTree 786 787 790 % 8.80/9.05 792. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 584 791 593 % 8.80/9.05 793. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 8.80/9.05 794. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 8.80/9.05 795. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 8.80/9.05 796. ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e1)) ### TransEq 794 795 185 % 8.80/9.05 797. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 792 793 692 796 % 8.80/9.05 798. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.05 799. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 8.80/9.05 800. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.80/9.05 801. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.80/9.05 802. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 8.80/9.05 803. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq 800 801 802 % 8.80/9.05 804. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 803 % 8.80/9.05 805. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.05 806. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.05 807. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 8.80/9.05 808. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq 805 806 807 % 8.80/9.05 809. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ### DisjTree 798 799 804 808 % 8.80/9.05 810. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 292 797 791 809 % 8.80/9.05 811. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 785 810 % 8.80/9.05 812. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 784 811 369 771 % 8.80/9.05 813. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 779 101 812 % 8.80/9.05 814. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 813 292 287 % 8.80/9.05 815. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 778 504 814 % 8.80/9.05 816. 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(((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ 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(e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 816 % 8.80/9.05 818. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ### ConjTree 617 % 8.80/9.05 819. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.05 820. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 8.80/9.05 821. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 248 329 820 488 % 8.80/9.05 822. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 72 819 821 % 8.80/9.05 823. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 8.80/9.05 824. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op 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/\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 766 818 822 823 % 8.80/9.05 825. 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 648 824 663 % 8.80/9.05 826. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. 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(e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### ConjTree 825 % 8.80/9.05 827. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 8.80/9.05 828. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 8.80/9.05 829. ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 827 828 71 % 8.80/9.05 830. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.05 831. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.05 832. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.05 833. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 8.80/9.05 834. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 498 353 833 % 8.80/9.06 835. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 834 % 8.80/9.06 836. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.06 837. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.06 838. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 8.80/9.06 839. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 836 837 838 % 8.80/9.06 840. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.80/9.06 841. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 8.80/9.06 842. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 8.80/9.06 843. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq 840 841 842 % 8.80/9.06 844. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 8.80/9.06 845. ((e2) != (op (e0) (op (e0) (e0)))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 540 85 % 8.80/9.06 846. ((op (e0) (op (e0) (e0))) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans 540 85 % 8.80/9.06 847. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e2)) ### NotEqual 846 57 % 8.80/9.06 848. ((e3) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 847 185 % 8.80/9.06 849. (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### DisjTree 844 845 848 % 8.80/9.06 850. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 724 338 843 849 % 8.80/9.06 851. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 839 678 850 171 % 8.80/9.06 852. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.06 853. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e3)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 207 851 852 % 8.80/9.06 854. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 292 835 281 853 % 8.80/9.06 855. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 281 854 % 8.80/9.06 856. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.06 857. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 192 646 856 % 8.80/9.06 858. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 778 850 857 % 8.80/9.06 859. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.06 860. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.06 861. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 281 854 % 8.80/9.06 862. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op 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(e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = 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(e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 859 860 862 207 % 8.80/9.06 864. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.06 865. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.80/9.06 866. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 8.80/9.06 867. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 864 865 866 % 8.80/9.06 868. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) 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(e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != 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(e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 863 515 867 857 % 8.80/9.06 869. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e2) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 858 302 868 266 % 8.80/9.06 870. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 239 178 869 498 % 8.80/9.06 871. 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(((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 855 834 870 % 8.80/9.06 872. 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(e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 831 832 871 207 % 8.80/9.06 873. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.06 874. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.06 875. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.80/9.06 876. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.80/9.06 877. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 8.80/9.06 878. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq 875 876 877 % 8.80/9.06 879. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 87 878 332 % 8.80/9.06 880. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 218 222 879 % 8.80/9.06 881. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 8.80/9.06 882. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 8.80/9.06 883. ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e1)) ### TransEq 881 882 85 % 8.80/9.06 884. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 880 883 101 530 % 8.80/9.06 885. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.06 886. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 8.80/9.06 887. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 8.80/9.06 888. ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 886 887 57 % 8.80/9.06 889. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 888 834 192 % 8.80/9.06 890. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 885 889 850 207 % 8.80/9.06 891. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 884 101 890 746 % 8.80/9.06 892. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 281 891 % 8.80/9.06 893. ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 892 883 107 530 % 8.80/9.06 894. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 893 835 192 % 8.80/9.06 895. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 873 874 894 207 % 8.80/9.06 896. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 830 872 895 % 8.80/9.07 897. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 896 849 461 % 8.80/9.07 898. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.07 899. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.07 900. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.07 901. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.07 902. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.07 903. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.07 904. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 884 835 192 % 8.80/9.07 905. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 902 903 904 207 % 8.80/9.07 906. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 901 863 905 % 8.80/9.07 907. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.07 908. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 255 171 259 % 8.80/9.07 909. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 260 908 % 8.80/9.07 910. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 730 909 72 232 % 8.80/9.07 911. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.07 912. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.07 913. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 8.80/9.07 914. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 8.80/9.07 915. ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 913 914 57 % 8.80/9.07 916. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 255 915 259 % 8.80/9.07 917. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.80/9.07 918. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.80/9.07 919. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 8.80/9.07 920. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 917 918 919 % 8.80/9.07 921. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 8.80/9.07 922. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 568 920 921 % 8.80/9.07 923. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.80/9.07 924. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.80/9.07 925. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 8.80/9.07 926. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 923 924 925 % 8.80/9.07 927. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 926 920 121 884 % 8.80/9.07 928. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 922 835 260 927 % 8.80/9.07 929. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op 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((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 910 916 928 % 8.80/9.07 930. 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(e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op 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(e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != 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(e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 883 929 124 % 8.80/9.07 931. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = 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(((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 930 834 192 % 8.80/9.07 932. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 911 912 931 207 % 8.80/9.07 933. 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((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op 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/\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 907 910 932 % 8.80/9.07 934. 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(e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 906 934 % 8.80/9.08 936. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 8.80/9.08 937. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 8.80/9.08 938. ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 936 937 57 % 8.80/9.08 939. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 8.80/9.08 940. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 383 192 746 939 % 8.80/9.08 941. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.08 942. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 940 646 941 % 8.80/9.08 943. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op 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(e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op 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(e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 935 515 850 942 % 8.80/9.08 944. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 8.80/9.08 945. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 8.80/9.08 946. ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 944 945 71 % 8.80/9.08 947. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 260 101 946 942 % 8.80/9.08 948. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 922 834 947 853 % 8.80/9.08 949. 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ 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(e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 943 947 948 % 8.80/9.08 950. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ 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(e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op 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(e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != 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(e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 239 949 943 498 % 8.80/9.08 951. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 899 900 950 207 % 8.80/9.08 952. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.08 953. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.08 954. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) 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(e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = 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/\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op 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(e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 947 954 % 8.80/9.08 956. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ 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(e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 955 835 192 % 8.80/9.08 957. 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(e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 952 953 956 207 % 8.80/9.09 958. ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 898 951 957 % 8.80/9.09 959. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 960. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 8.80/9.09 961. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.80/9.09 962. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 8.80/9.09 963. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 8.80/9.09 964. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 961 962 963 % 8.80/9.09 965. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 394 964 111 115 % 8.80/9.09 966. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.09 967. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 965 966 106 % 8.80/9.09 968. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 88 960 107 967 % 8.80/9.09 969. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 959 72 968 % 8.80/9.09 970. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 89 969 130 % 8.80/9.09 971. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 970 % 8.80/9.09 972. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 973. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 974. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 975. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.80/9.09 976. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 189 975 204 530 % 8.80/9.09 977. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 552 524 101 976 % 8.80/9.09 978. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 974 977 208 % 8.80/9.09 979. ((e0) != (e1)) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 973 978 192 % 8.80/9.09 980. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 979 268 709 % 8.80/9.09 981. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 979 288 709 % 8.80/9.09 982. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 553 980 981 % 8.80/9.09 983. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 8.80/9.09 984. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 232 515 111 983 % 8.80/9.09 985. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.80/9.09 986. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 199 984 163 171 % 8.80/9.09 987. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 193 985 986 498 % 8.80/9.09 988. ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 982 178 984 987 % 8.80/9.09 989. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 972 988 192 % 8.80/9.09 990. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 8.80/9.09 991. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 8.80/9.09 992. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 8.80/9.09 993. ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 991 992 71 % 8.80/9.09 994. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 990 878 993 % 8.80/9.09 995. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 193 994 287 % 8.80/9.09 996. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 553 989 995 % 8.80/9.09 997. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 996 982 554 511 % 8.80/9.09 998. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 997 % 8.80/9.09 999. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1000. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.09 1001. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1002. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.09 1003. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 8.80/9.09 1004. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 515 1003 598 % 8.80/9.09 1005. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 1002 1004 % 8.80/9.09 1006. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 271 178 515 311 % 8.80/9.09 1007. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 784 1005 72 1006 % 8.80/9.09 1008. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1000 1001 101 1007 % 8.80/9.09 1009. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 999 1008 107 % 8.80/9.09 1010. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1011. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 562 597 72 620 % 8.80/9.09 1012. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1010 1011 107 % 8.80/9.09 1013. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 1009 248 1012 % 8.80/9.09 1014. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1015. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.09 1016. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1017. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.80/9.09 1018. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 8.80/9.09 1019. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 1018 594 % 8.80/9.09 1020. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 1017 1019 % 8.80/9.09 1021. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1020 617 197 207 % 8.80/9.09 1022. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 651 1021 72 621 % 8.80/9.09 1023. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1015 1016 101 1022 % 8.80/9.09 1024. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1014 1023 107 % 8.80/9.09 1025. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 1024 425 709 % 8.80/9.09 1026. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 778 1013 1025 % 8.80/9.09 1027. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1026 % 8.80/9.09 1028. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1029. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 651 628 72 771 % 8.80/9.09 1030. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1028 1029 107 % 8.80/9.09 1031. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1030 424 709 % 8.80/9.09 1032. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1033. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1034. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 651 767 72 771 % 8.80/9.09 1035. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1033 101 1034 % 8.80/9.09 1036. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1032 1035 107 % 8.80/9.09 1037. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1038. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 8.80/9.09 1039. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 1038 121 124 % 8.80/9.09 1040. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1037 72 1039 % 8.80/9.09 1041. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1042. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.09 1043. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 8.80/9.09 1044. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 8.80/9.09 1045. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 218 222 609 % 8.80/9.09 1046. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 498 1044 1045 % 8.80/9.09 1047. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 8.80/9.09 1048. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 333 530 1047 796 % 8.80/9.09 1049. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 1046 353 1048 % 8.80/9.09 1050. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 88 1043 101 1049 % 8.80/9.09 1051. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 8.80/9.09 1052. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 333 207 1051 796 % 8.80/9.09 1053. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 311 353 1052 % 8.80/9.09 1054. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1042 1050 1053 % 8.80/9.09 1055. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1041 72 1054 % 8.80/9.09 1056. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 8.80/9.09 1057. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 8.80/9.09 1058. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 8.80/9.09 1059. ((e2) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e2)) ### TransEq 1057 1058 185 % 8.80/9.09 1060. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 245 1056 1059 % 8.80/9.09 1061. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1055 1060 407 % 8.80/9.10 1062. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.80/9.10 1063. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.80/9.10 1064. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 8.80/9.10 1065. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq 1062 1063 1064 % 8.80/9.10 1066. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.10 1067. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 326 878 332 % 8.80/9.10 1068. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1066 72 1067 % 8.80/9.10 1069. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 1055 251 1068 % 8.80/9.10 1070. ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1061 1069 287 % 8.80/9.10 1071. ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 89 1040 1070 % 8.80/9.10 1072. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.10 1073. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 8.80/9.10 1074. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 8.80/9.10 1075. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ### ConjTree 1059 % 8.80/9.10 1076. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 358 530 1074 1075 % 8.80/9.10 1077. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 342 1076 % 8.80/9.10 1078. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 88 1073 424 1077 % 8.80/9.10 1079. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1072 72 1078 % 8.80/9.10 1080. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 89 1040 404 % 8.80/9.10 1081. ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ### DisjTree 1071 1079 369 1080 % 8.80/9.10 1082. ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 1081 % 8.80/9.10 1083. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) 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(((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op 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(e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ### ConjTree 512 % 8.80/9.10 1084. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.10 1085. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 883 121 124 % 8.80/9.10 1086. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1084 910 1086 % 8.80/9.10 1088. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. 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(e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1087 251 485 % 8.80/9.10 1089. 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!= (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != 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(e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 248 1088 % 8.80/9.10 1090. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.10 1091. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.80/9.10 1092. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.10 1093. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.80/9.10 1094. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.80/9.10 1095. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 8.80/9.10 1096. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq 1093 1094 1095 % 8.80/9.10 1097. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 783 94 1096 % 8.80/9.10 1098. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 1097 245 292 287 % 8.80/9.10 1099. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1098 835 281 853 % 8.80/9.10 1100. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 281 1099 % 8.80/9.10 1101. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1100 883 101 530 % 8.80/9.10 1102. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 1101 72 232 % 8.80/9.10 1103. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1091 1092 1102 207 % 8.80/9.10 1104. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1090 1103 905 % 8.80/9.10 1105. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 1104 251 461 % 8.80/9.10 1106. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1105 287 % 8.80/9.10 1107. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ 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(e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op 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(e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 935 1089 1106 % 8.80/9.10 1108. 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\/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 1107 % 8.80/9.10 1109. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.10 1110. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1109 281 207 % 8.80/9.10 1111. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1110 260 % 8.80/9.11 1112. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 271 1110 260 % 8.80/9.11 1113. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.80/9.11 1114. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.80/9.11 1115. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 8.80/9.11 1116. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 1113 1114 1115 % 8.80/9.11 1117. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 1110 383 % 8.80/9.11 1118. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1111 1112 1116 1117 % 8.80/9.11 1119. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1118 % 8.80/9.11 1120. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.11 1121. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ### ConjTree 883 % 8.80/9.11 1122. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 8.80/9.11 1123. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op 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(((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 766 1121 1122 192 % 8.80/9.11 1124. 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/\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1120 187 1123 % 8.80/9.11 1125. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 8.80/9.11 1126. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 8.80/9.11 1127. ((e3) != (op (e1) (op (e1) (e1)))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 181 185 % 8.80/9.11 1128. ((op (e1) (op (e1) (e1))) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans 181 185 % 8.80/9.11 1129. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ### NotEqual 1128 71 % 8.80/9.11 1130. ((e0) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 1129 57 % 8.80/9.11 1131. (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### DisjTree 1126 1127 1130 % 8.80/9.11 1132. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 654 1131 702 % 8.80/9.11 1133. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 8.80/9.11 1134. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1132 1121 1133 192 % 8.80/9.11 1135. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.80/9.11 1136. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ### DisjTree 287 266 646 1135 % 8.80/9.11 1137. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.11 1138. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 1134 1136 1137 % 8.80/9.11 1139. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.11 1140. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1138 488 1139 % 8.80/9.11 1141. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 883 1125 1140 % 8.80/9.11 1142. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != 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(e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 1141 251 485 % 8.80/9.11 1143. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op 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\/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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(e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 1124 698 1142 % 8.80/9.11 1144. ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1124 248 1142 % 8.80/9.11 1145. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.11 1146. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.80/9.11 1147. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.80/9.11 1148. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 8.80/9.11 1149. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 1146 1147 1148 % 8.80/9.11 1150. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 8.80/9.11 1151. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom % 8.80/9.11 1152. ((op (e0) (op (e0) (e0))) != (op (e0) (e3))) ((op (e0) (e0)) = (e3)) ### NotEqual 57 1151 % 8.80/9.11 1153. ((e2) != (op (e0) (op (e0) (e0)))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1152 85 % 8.80/9.11 1154. ((op (e0) (op (e0) (e0))) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans 1152 85 % 8.80/9.11 1155. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) ### NotEqual 1154 57 % 8.80/9.11 1156. ((e1) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1155 71 % 8.80/9.11 1157. (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### DisjTree 1150 1153 1156 % 8.80/9.11 1158. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.80/9.11 1159. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 8.80/9.11 1160. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 8.80/9.11 1161. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq 1158 1159 1160 % 8.80/9.11 1162. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1157 222 1161 % 8.80/9.11 1163. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 605 1149 1162 377 % 8.80/9.11 1164. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.80/9.11 1165. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.80/9.11 1166. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.80/9.11 1167. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 8.80/9.11 1168. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq-sym 1165 1166 1167 % 8.80/9.11 1169. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 1168 % 8.80/9.11 1170. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ### DisjTree 1145 1163 1164 1169 % 8.80/9.11 1171. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.80/9.11 1172. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1170 488 1171 % 8.80/9.11 1173. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.80/9.11 1174. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1172 688 251 729 % 8.80/9.11 1175. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 8.80/9.11 1176. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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(e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1174 883 1175 192 % 8.80/9.11 1177. 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(e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1173 187 1176 % 8.90/9.11 1178. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ 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((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op 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/\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1172 1177 698 287 % 8.90/9.12 1179. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ 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(e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 239 1144 1178 % 8.90/9.12 1180. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 8.90/9.12 1181. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 8.90/9.12 1182. ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) ### TransEq 1180 1181 71 % 8.90/9.12 1183. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.12 1184. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.12 1185. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.90/9.12 1186. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.90/9.12 1187. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 8.90/9.12 1188. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 1185 1186 1187 % 8.90/9.12 1189. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 1183 1149 1184 1188 % 8.90/9.12 1190. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.12 1191. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.12 1192. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.90/9.12 1193. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 8.90/9.12 1194. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 8.90/9.12 1195. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 1192 1193 1194 % 8.90/9.12 1196. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 1190 398 1191 1195 % 8.90/9.12 1197. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ### DisjTree 383 1189 1196 1168 % 8.90/9.12 1198. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 392 160 964 715 % 8.90/9.12 1199. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.12 1200. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1174 1198 746 1199 % 8.90/9.12 1201. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.90/9.12 1202. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 8.90/9.12 1203. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 8.90/9.12 1204. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 1201 1202 1203 % 8.90/9.12 1205. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.12 1206. 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/\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e2) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1200 1204 1205 % 8.90/9.12 1207. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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(e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = 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(e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != 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(e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 192 1206 1149 % 8.90/9.12 1208. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.12 1209. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1163 392 443 1208 % 8.90/9.12 1210. 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(e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1207 349 678 1209 % 8.90/9.12 1211. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (-. 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(e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 226 1206 1149 % 8.90/9.12 1212. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.12 1213. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1163 1198 646 1212 % 8.90/9.12 1214. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.12 1215. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1213 1204 1214 % 8.90/9.12 1216. 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(e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1211 311 678 1215 % 8.90/9.12 1217. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.12 1218. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (-. 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((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 1210 1216 1217 % 8.90/9.12 1219. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.12 1220. 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/\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1218 488 1219 % 8.90/9.13 1221. 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1220 1206 % 8.90/9.13 1222. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 392 692 702 % 8.90/9.13 1223. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.13 1224. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1163 1222 443 1223 % 8.90/9.13 1225. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 383 192 171 1224 % 8.90/9.13 1226. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.90/9.13 1227. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 8.90/9.13 1228. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 8.90/9.13 1229. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 1226 1227 1228 % 8.90/9.13 1230. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ### DisjTree 1229 1116 843 171 % 8.90/9.13 1231. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 226 1230 1149 % 8.90/9.13 1232. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 605 1231 222 377 % 8.90/9.13 1233. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1232 1229 488 % 8.90/9.13 1234. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.13 1235. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 1225 1233 1234 % 8.90/9.13 1236. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.13 1237. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1235 488 1236 % 8.90/9.13 1238. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 715 1237 259 % 8.90/9.13 1239. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1238 692 702 % 8.90/9.13 1240. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 8.90/9.13 1241. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 8.90/9.13 1242. ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e0)) ### TransEq 1240 1241 85 % 8.90/9.13 1243. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 715 1235 259 % 8.90/9.13 1244. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 715 915 259 % 8.90/9.13 1245. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 1243 1244 1232 % 8.90/9.13 1246. ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1245 1131 702 % 8.90/9.13 1247. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 685 1239 1246 % 8.90/9.13 1248. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 715 1225 259 % 8.90/9.13 1249. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.13 1250. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1248 488 1249 % 8.90/9.13 1251. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1250 1244 488 % 8.90/9.13 1252. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1251 692 332 % 8.90/9.13 1253. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 8.90/9.13 1254. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 8.90/9.13 1255. ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 1253 1254 57 % 8.90/9.13 1256. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 1255 1248 1244 488 % 8.90/9.13 1257. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1256 1244 1233 % 8.90/9.13 1258. ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1257 1131 702 % 8.90/9.13 1259. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 685 1252 1258 % 8.90/9.13 1260. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1182 685 1247 1259 % 8.90/9.13 1261. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != 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(e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1260 688 251 729 % 8.90/9.13 1262. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. 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(e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 576 588 1261 % 8.90/9.13 1263. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.13 1264. ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ 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(e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1170 1262 746 1263 % 8.90/9.13 1265. 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(e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op 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(e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 226 1264 1209 % 8.90/9.14 1266. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.14 1267. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 311 488 1266 % 8.90/9.14 1268. 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(e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != 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\/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e0)) ### DisjTree 1265 1267 920 1209 % 8.90/9.14 1269. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 750 398 588 259 % 8.90/9.14 1270. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 8.90/9.14 1271. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1163 1269 443 1270 % 8.90/9.14 1272. ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 192 1264 1271 % 8.90/9.14 1273. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e2) (e3)) = (e3)) ### DisjTree 1272 311 601 1271 % 8.90/9.14 1274. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.14 1275. ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. 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(e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) 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(e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ 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((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1273 488 1274 % 8.90/9.14 1276. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.14 1277. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 1275 1229 1276 % 8.90/9.14 1278. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ 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(e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op 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(e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1268 1278 1232 % 8.90/9.14 1280. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.14 1281. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 332 1233 1280 % 8.90/9.14 1282. 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\/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ 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((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1279 692 1281 % 8.90/9.14 1283. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.14 1284. 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(((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) 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(e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1282 488 1283 % 8.90/9.15 1285. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 8.90/9.15 1286. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1189 311 601 398 % 8.90/9.15 1287. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.15 1288. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1286 488 1287 % 8.90/9.15 1289. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e2) != (e3)) ((op (e0) (e3)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 1136 171 1215 % 8.90/9.15 1290. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1289 349 601 1215 % 8.90/9.15 1291. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.15 1292. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 1225 1290 1291 % 8.90/9.15 1293. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.15 1294. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1292 488 1293 % 8.90/9.15 1295. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 715 1294 259 % 8.90/9.15 1296. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1295 692 702 % 8.90/9.15 1297. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 715 1292 259 % 8.90/9.15 1298. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 715 1290 259 % 8.90/9.15 1299. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1298 1229 488 % 8.90/9.15 1300. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1297 1244 1299 % 8.90/9.15 1301. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1300 692 702 % 8.90/9.15 1302. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 685 1296 1301 % 8.90/9.15 1303. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 572 1288 1163 1302 % 8.90/9.15 1304. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1189 349 678 1303 % 8.90/9.15 1305. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.15 1306. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 332 1304 1305 % 8.90/9.15 1307. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.15 1308. ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1306 488 1307 % 8.90/9.15 1309. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) = (e3)) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (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) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1284 1285 1308 601 % 8.90/9.15 1310. ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) 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(e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ 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((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op 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(e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1221 692 1309 % 8.90/9.15 1311. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1218 1206 % 8.90/9.15 1312. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 8.90/9.15 1313. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 8.90/9.15 1314. ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e1)) ### TransEq-sym 1312 1313 57 % 8.90/9.15 1315. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1314 1206 % 8.90/9.15 1316. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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(e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1216 1206 % 8.90/9.15 1317. 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(e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1311 1315 1316 % 8.90/9.16 1318. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1189 311 601 357 % 8.90/9.16 1319. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1306 1318 % 8.90/9.16 1320. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1317 1131 1319 % 8.90/9.16 1321. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ 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(e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 685 1310 1320 % 8.90/9.16 1322. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op 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(e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1210 1206 % 8.90/9.16 1323. 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1207 349 678 1215 % 8.90/9.16 1324. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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(e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1323 1206 % 8.90/9.16 1325. 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((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 1322 1315 1324 % 8.90/9.16 1326. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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(e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != 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(e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1325 1131 332 % 8.90/9.16 1327. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.16 1328. 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(e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1326 488 1327 % 8.90/9.16 1329. 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(e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1182 685 1321 1328 % 8.90/9.16 1330. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 1252 1244 1299 % 8.90/9.17 1331. ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1330 1131 332 % 8.90/9.17 1332. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 685 1252 1331 % 8.90/9.17 1333. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 685 1302 1332 % 8.90/9.17 1334. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1333 688 251 471 % 8.90/9.17 1335. 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ 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(e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ### DisjTree 1329 271 248 1334 % 8.90/9.17 1336. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != 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(e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 239 1335 1174 % 8.90/9.17 1337. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 8.90/9.17 1338. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.17 1339. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 308 1138 488 1338 % 8.90/9.17 1340. ((e0) != (e1)) ((op (e3) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 703 1121 1337 1339 % 8.90/9.17 1341. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 271 698 1340 % 8.90/9.17 1342. ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ 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(((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1179 1336 151 1341 % 8.90/9.17 1343. ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1124 292 1142 % 8.90/9.17 1344. 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(e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ### DisjTree 1343 766 151 1344 % 8.90/9.17 1346. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 311 601 398 % 8.90/9.17 1347. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 8.90/9.17 1348. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1346 488 1347 % 8.90/9.17 1349. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e2)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ### DisjTree 1143 1342 1345 1348 % 8.90/9.18 1350. ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op 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(e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 1349 % 8.90/9.18 1351. (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 313 46 48 50 52 54 59 61 63 1082 136 138 1083 412 414 416 418 558 425 427 429 430 432 434 436 438 643 444 446 448 450 452 454 456 1108 463 1119 466 682 1350 474 476 478 480 482 484 % 8.90/9.18 1352. 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(((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### Or 1351 485 % 8.90/9.18 1353. ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) 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/\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 1036 1352 709 % 8.90/9.18 1354. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1036 151 709 % 8.90/9.18 1355. ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op 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(e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e3)) ### DisjTree 1353 766 1354 345 % 8.90/9.18 1356. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.90/9.18 1357. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 8.90/9.18 1358. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 1357 792 % 8.90/9.18 1359. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 784 1358 369 1006 % 8.90/9.18 1360. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 1356 101 1359 % 8.90/9.18 1361. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1360 292 287 % 8.90/9.18 1362. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 778 504 1361 % 8.90/9.18 1363. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) 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(e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1031 1355 1362 398 % 8.90/9.18 1364. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. 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\/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 1363 % 8.90/9.19 1365. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.90/9.19 1366. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 8.90/9.19 1367. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 651 617 72 1366 % 8.90/9.19 1368. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1365 1367 87 % 8.90/9.19 1369. ((op (e3) (e0)) = (e3)) (-. 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(((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) 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(e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1368 1352 709 % 8.90/9.19 1370. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.90/9.19 1371. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 8.90/9.19 1372. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 248 329 1371 471 % 8.90/9.19 1373. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 8.90/9.19 1374. 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(e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 759 617 1372 1373 % 8.90/9.19 1375. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 8.90/9.19 1376. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 248 1131 1375 471 % 8.90/9.19 1377. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 1376 121 658 % 8.90/9.19 1378. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 8.90/9.19 1379. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e1) != (e3)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((e1) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1377 818 1372 1378 % 8.90/9.19 1380. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e3)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 1370 1374 1379 % 8.90/9.19 1381. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 8.90/9.19 1382. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 715 1381 259 % 8.90/9.19 1383. 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\/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ 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(e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1380 248 1382 % 8.90/9.19 1384. ((op (e2) (e2)) != (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1369 1383 663 % 8.90/9.19 1385. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (e0)) ### ConjTree 1384 % 8.90/9.19 1386. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 44 315 48 50 52 54 59 61 63 971 409 138 998 412 414 416 418 420 1027 427 429 1364 432 434 436 438 439 1385 446 448 450 452 669 456 461 463 464 466 763 472 474 476 478 480 482 484 % 8.90/9.19 1387. ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. 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(e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 958 849 1386 % 8.90/9.20 1388. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. 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(e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op 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(op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 897 1387 % 8.90/9.20 1389. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.90/9.20 1390. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.90/9.20 1391. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 8.90/9.20 1392. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) 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(e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e1)) ### DisjTree 949 883 101 530 % 8.90/9.20 1393. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 101 530 % 8.90/9.20 1394. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 8.90/9.20 1395. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 1394 160 850 187 % 8.90/9.20 1396. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 232 515 1395 942 % 8.90/9.20 1397. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 1396 947 203 % 8.90/9.20 1398. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1393 1397 121 266 % 8.90/9.20 1399. 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(e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) 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(e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 943 524 101 530 % 8.90/9.20 1400. ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1398 178 1400 498 % 8.90/9.20 1402. ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. 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(e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 1392 72 1401 % 8.90/9.20 1403. ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1390 1391 1402 207 % 9.00/9.20 1404. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.00/9.20 1405. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.20 1406. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op 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(e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1406 883 121 124 % 9.00/9.21 1408. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1404 1405 1408 207 % 9.00/9.21 1410. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1389 1403 1409 % 9.00/9.21 1411. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.21 1412. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.00/9.21 1413. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.21 1414. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 849 883 101 530 % 9.00/9.21 1415. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 849 1396 101 530 % 9.00/9.21 1416. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1398 178 1415 498 % 9.00/9.21 1417. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 1414 835 1416 % 9.00/9.21 1418. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1412 1413 1417 207 % 9.00/9.21 1419. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.00/9.21 1420. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.21 1421. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 1414 835 192 % 9.00/9.21 1422. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1419 1420 1421 207 % 9.00/9.21 1423. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1411 1418 1422 % 9.00/9.21 1424. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1410 1423 461 % 9.00/9.21 1425. ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (-. 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(e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) 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(e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 248 1424 % 9.00/9.21 1426. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.21 1427. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.00/9.21 1428. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.21 1429. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 1429 281 854 % 9.00/9.22 1431. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. 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(e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op 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(e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != 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(e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) ### DisjTree 1430 524 101 530 % 9.00/9.22 1432. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1103 101 867 663 % 9.00/9.22 1433. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1431 883 1432 588 % 9.00/9.22 1434. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 9.00/9.22 1435. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 9.00/9.22 1436. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 9.00/9.22 1437. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 1434 1435 1436 % 9.00/9.22 1438. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1103 1437 1395 663 % 9.00/9.22 1439. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 1438 281 203 % 9.00/9.22 1440. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ### DisjTree 1439 654 878 993 % 9.00/9.22 1441. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1432 654 878 993 % 9.00/9.22 1442. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 1441 101 530 % 9.00/9.22 1443. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1393 1440 1442 588 % 9.00/9.22 1444. ((op (e0) (e1)) != (op (e2) (e1))) (-. 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(e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1429 1439 101 530 % 9.00/9.22 1445. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. 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(e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1443 178 1444 498 % 9.00/9.22 1446. ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != 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\/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ 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(e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1427 1428 1446 207 % 9.00/9.23 1448. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1426 1447 895 % 9.00/9.23 1449. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.23 1450. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.00/9.23 1451. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.23 1452. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1438 654 878 993 % 9.00/9.23 1453. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 849 1452 101 530 % 9.00/9.23 1454. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1443 178 1453 498 % 9.00/9.23 1455. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 321 1414 72 1454 % 9.00/9.23 1456. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1450 1451 1455 207 % 9.00/9.23 1457. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1449 1456 1422 % 9.00/9.23 1458. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) 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(((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 1448 1457 461 % 9.00/9.23 1459. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 1458 287 % 9.00/9.23 1460. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = 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(e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 1388 1425 1459 % 9.00/9.23 1461. ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) 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(e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### ConjTree 1460 % 9.00/9.23 1462. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 9.00/9.23 1463. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ### ConjTree 946 % 9.00/9.23 1464. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 1462 1463 942 % 9.00/9.23 1465. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1110 1464 % 9.00/9.23 1466. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 9.00/9.23 1467. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 9.00/9.23 1468. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 1466 1467 57 % 9.00/9.23 1469. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.00/9.23 1470. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 9.00/9.23 1471. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1470 850 942 % 9.00/9.23 1472. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 1469 1471 207 % 9.00/9.23 1473. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 545 1110 1472 % 9.00/9.23 1474. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1465 1111 1473 % 9.00/9.23 1475. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 9.00/9.23 1476. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ### DisjTree 1119 1475 111 942 % 9.00/9.23 1477. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1110 1476 % 9.00/9.23 1478. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 1110 287 % 9.00/9.23 1479. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1474 1477 1478 % 9.00/9.23 1480. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 271 1110 1476 % 9.00/9.23 1481. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 239 1480 1478 % 9.00/9.23 1482. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1479 1481 1116 1117 % 9.00/9.24 1483. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### ConjTree 1482 % 9.00/9.24 1484. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 694 248 703 % 9.00/9.24 1485. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 9.00/9.24 1486. ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1484 883 1485 1140 % 9.00/9.24 1487. ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1124 698 1486 % 9.00/9.24 1488. 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(e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 524 1178 1488 % 9.00/9.24 1490. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e1)) (-. 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((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 302 1487 1489 % 9.00/9.24 1491. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1162 271 698 287 % 9.00/9.24 1492. ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != 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(e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 524 1342 1491 % 9.00/9.24 1493. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 302 1487 1492 % 9.00/9.24 1494. ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. 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(e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) 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((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1172 1124 292 287 % 9.00/9.24 1495. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 302 504 1494 % 9.00/9.24 1496. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = 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(e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op 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(e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((e0) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1490 1493 1495 1348 % 9.00/9.25 1497. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### ConjTree 1496 % 9.00/9.25 1498. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 44 46 48 50 52 54 59 61 63 132 136 138 556 412 414 416 418 558 625 427 429 817 432 434 436 438 643 826 446 448 450 452 669 456 1461 463 1483 466 682 1497 474 476 478 480 482 484 % 9.00/9.25 1499. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != 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((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### Or 1498 1386 % 9.00/9.25 1500. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) 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/\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1499 1352 % 9.00/9.25 1501. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### Or 1500 766 % 9.00/9.25 1502. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 1501 % 9.00/9.25 1503. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.00/9.25 1504. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) != (e1)) ### ConjTree 1503 % 9.00/9.25 1505. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.25 1506. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e3)) != (e1)) ### ConjTree 1505 % 9.00/9.25 1507. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ### ConjTree 883 % 9.00/9.25 1508. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.00/9.25 1509. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.00/9.25 1510. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.00/9.25 1511. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.00/9.25 1512. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 9.00/9.25 1513. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 9.00/9.25 1514. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 9.00/9.25 1515. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 1512 1513 1514 % 9.00/9.25 1516. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 1515 % 9.00/9.25 1517. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 9.00/9.25 1518. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 9.00/9.25 1519. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 9.00/9.25 1520. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 1517 1518 1519 % 9.00/9.25 1521. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 1520 % 9.00/9.25 1522. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 1520 % 9.00/9.25 1523. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 783 % 9.00/9.25 1524. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 783 % 9.00/9.25 1525. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 77 % 9.00/9.25 1526. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 77 % 9.00/9.25 1527. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 178 % 9.00/9.25 1528. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 9.00/9.25 1529. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 9.00/9.25 1530. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 9.00/9.25 1531. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 1528 1529 1530 % 9.00/9.25 1532. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### ConjTree 1531 % 9.00/9.25 1533. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 9.00/9.25 1534. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 9.00/9.25 1535. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 9.00/9.25 1536. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 1533 1534 1535 % 9.00/9.25 1537. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 9.00/9.25 1538. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.25 1539. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.25 1540. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 9.00/9.25 1541. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq-sym 1538 1539 1540 % 9.00/9.25 1542. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 1536 1537 1541 % 9.00/9.25 1543. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 1542 % 9.00/9.25 1544. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 9.00/9.25 1545. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e1)) = (e0)) ### ConjTree 1544 % 9.00/9.25 1546. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.25 1547. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e3)) != (e1)) ### ConjTree 1546 % 9.00/9.25 1548. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 9.00/9.25 1549. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 9.00/9.25 1550. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 9.00/9.25 1551. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq 1548 1549 1550 % 9.00/9.25 1552. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 9.00/9.25 1553. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) = (e2)) ### ConjTree 1552 % 9.00/9.25 1554. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ### ConjTree 1437 % 9.00/9.25 1555. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 424 % 9.00/9.25 1556. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 9.00/9.25 1557. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 9.00/9.25 1558. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 9.00/9.25 1559. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq-sym 1556 1557 1558 % 9.00/9.25 1560. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1559 % 9.00/9.25 1561. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1559 % 9.00/9.25 1562. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ### ConjTree 888 % 9.00/9.25 1563. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 380 617 197 460 % 9.00/9.25 1564. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 1563 % 9.00/9.25 1565. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 9.00/9.25 1566. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e1)) = (e0)) ### ConjTree 1565 % 9.00/9.25 1567. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 9.00/9.25 1568. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) = (e2)) ### ConjTree 1567 % 9.00/9.25 1569. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.25 1570. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.25 1571. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 9.00/9.25 1572. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq-sym 1569 1570 1571 % 9.00/9.25 1573. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.25 1574. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.00/9.25 1575. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 1168 % 9.00/9.25 1576. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### DisjTree 1572 1573 1574 1575 % 9.00/9.25 1577. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.25 1578. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.25 1579. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 9.00/9.25 1580. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq-sym 1577 1578 1579 % 9.00/9.25 1581. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.25 1582. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.00/9.25 1583. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 1580 1581 1582 1575 % 9.00/9.25 1584. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 9.00/9.25 1585. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e1)) = (e3)) ### ConjTree 1584 % 9.00/9.25 1586. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 9.00/9.25 1587. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e1)) = (e3)) ### ConjTree 1586 % 9.00/9.25 1588. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 460 % 9.00/9.25 1589. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 9.00/9.25 1590. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 9.00/9.25 1591. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 9.00/9.25 1592. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 1589 1590 1591 % 9.00/9.25 1593. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 1592 % 9.00/9.25 1594. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ 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(e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e2)) ### DisjTree 2 4 6 8 10 12 1553 1585 20 1554 27 1516 30 1521 1522 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1532 418 1555 1545 427 429 1587 432 434 436 438 1560 1561 446 448 450 1562 1588 456 1566 463 1568 466 1593 1121 474 476 478 480 482 484 % 9.00/9.25 1595. 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\/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ 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((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 1580 568 964 1594 % 9.00/9.26 1596. 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(e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1596 % 9.00/9.26 1598. 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9.00/9.26 1599. 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(e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### Or 1598 1594 % 9.00/9.26 1600. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 720 121 878 % 9.00/9.26 1601. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.00/9.26 1602. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 530 698 1188 % 9.00/9.26 1603. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.00/9.26 1604. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1602 1600 1603 601 % 9.00/9.26 1605. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 1601 1604 % 9.00/9.26 1606. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1600 1605 % 9.00/9.26 1607. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op 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(e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1599 1606 % 9.00/9.26 1608. 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\/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1607 658 % 9.00/9.26 1609. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 9.00/9.26 1610. ((e1) != (op (e0) (op (e0) (e0)))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1152 71 % 9.00/9.26 1611. ((op (e0) (op (e0) (e0))) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans 1152 71 % 9.00/9.26 1612. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ### NotEqual 1611 57 % 9.00/9.26 1613. ((e2) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1612 85 % 9.00/9.26 1614. (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### DisjTree 1609 1610 1613 % 9.00/9.26 1615. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 121 658 % 9.00/9.26 1616. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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(e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1608 1468 1615 1157 % 9.00/9.26 1617. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 197 867 746 % 9.00/9.26 1618. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.26 1619. 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((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1616 178 1617 1618 % 9.00/9.26 1620. 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((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op 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(e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 380 617 1619 1620 % 9.00/9.26 1622. 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/\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1621 658 % 9.00/9.27 1623. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 9.00/9.27 1624. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.27 1625. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1615 192 746 1624 % 9.00/9.27 1626. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 9.00/9.27 1627. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 9.00/9.27 1628. ((e0) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e0)) ### TransEq 1626 1627 185 % 9.00/9.27 1629. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 530 692 1628 % 9.00/9.27 1630. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1623 1625 646 1629 % 9.00/9.27 1631. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.27 1632. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 993 746 1631 % 9.00/9.27 1633. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1630 1632 % 9.00/9.27 1634. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. 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(e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) 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\/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != 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(e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 1622 1468 1634 1157 % 9.00/9.27 1636. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 9.00/9.27 1637. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 9.00/9.27 1638. ((op (e0) (op (e0) (e0))) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ### NotEqual 57 1637 % 9.00/9.27 1639. ((e1) != (op (e0) (op (e0) (e0)))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1638 71 % 9.00/9.27 1640. ((op (e0) (op (e0) (e0))) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans 1638 71 % 9.00/9.27 1641. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) ### NotEqual 1640 57 % 9.00/9.27 1642. ((e3) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1641 185 % 9.00/9.27 1643. (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### DisjTree 1636 1639 1642 % 9.00/9.27 1644. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 9.00/9.27 1645. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 728 601 % 9.00/9.27 1646. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 141 783 1645 308 % 9.00/9.27 1647. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 530 1646 1188 % 9.00/9.27 1648. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1600 1647 % 9.00/9.27 1649. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1560 1648 % 9.00/9.27 1650. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1649 658 % 9.00/9.27 1651. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1650 1468 1615 1157 % 9.00/9.27 1652. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.27 1653. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1651 192 746 1652 % 9.00/9.27 1654. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1644 1653 646 1629 % 9.00/9.27 1655. ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1654 1632 % 9.00/9.27 1656. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1560 1655 % 9.00/9.27 1657. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 9.00/9.27 1658. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 9.00/9.27 1659. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 9.00/9.27 1660. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 1657 1658 1659 % 9.00/9.27 1661. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 9.00/9.27 1662. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 9.00/9.27 1663. ((e3) != (op (e0) (op (e0) (e0)))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1638 185 % 9.00/9.27 1664. ((op (e0) (op (e0) (e0))) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans 1638 185 % 9.00/9.27 1665. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e3)) ### NotEqual 1664 57 % 9.00/9.27 1666. ((e1) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1665 71 % 9.00/9.27 1667. (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### DisjTree 1662 1663 1666 % 9.00/9.27 1668. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 926 720 1615 878 % 9.00/9.27 1669. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.00/9.27 1670. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1667 1668 1669 488 % 9.00/9.27 1671. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.27 1672. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1670 192 746 1671 % 9.00/9.27 1673. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1661 1672 646 1629 % 9.00/9.27 1674. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1656 1660 1673 1629 % 9.00/9.27 1675. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 9.00/9.27 1676. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 783 1656 308 % 9.00/9.27 1677. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1676 1660 1672 1629 % 9.00/9.27 1678. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 515 867 646 % 9.00/9.27 1679. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1675 1677 1678 1629 % 9.00/9.27 1680. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.00/9.27 1681. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1674 1679 1680 746 % 9.00/9.27 1682. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 1681 1632 % 9.00/9.27 1683. (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1560 1682 % 9.00/9.27 1684. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1683 658 % 9.00/9.27 1685. ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != 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(e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 783 1635 1685 % 9.00/9.27 1687. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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= (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1608 1468 1615 404 % 9.00/9.28 1688. 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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(((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 147 1686 1687 % 9.00/9.28 1689. ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. 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\/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1688 % 9.00/9.28 1690. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 9.00/9.28 1691. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 9.00/9.28 1692. ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e0)) ### TransEq 1690 1691 185 % 9.00/9.28 1693. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 9.00/9.28 1694. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1692 1660 839 1693 % 9.00/9.28 1695. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1694 % 9.00/9.28 1696. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.00/9.28 1697. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) != (e1)) ### ConjTree 1696 % 9.00/9.28 1698. 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(e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op 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(e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != 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(e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 1700 % 9.00/9.28 1702. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.00/9.28 1703. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.28 1704. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.28 1705. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 9.00/9.28 1706. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq-sym 1703 1704 1705 % 9.00/9.28 1707. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.28 1708. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.00/9.28 1709. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 1706 1707 1708 1575 % 9.00/9.28 1710. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.00/9.28 1711. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.00/9.28 1712. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ### DisjTree 1541 1710 1711 492 % 9.00/9.28 1713. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 572 720 588 1712 % 9.00/9.28 1714. 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(e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) 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(e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1520 1709 1713 1595 % 9.00/9.28 1715. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.28 1716. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.00/9.28 1717. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 9.00/9.28 1718. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq-sym 1715 1716 1717 % 9.00/9.28 1719. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 72 946 601 % 9.00/9.28 1720. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1718 1719 588 702 % 9.00/9.28 1721. 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(e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) 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(e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 1714 1721 1632 % 9.00/9.28 1723. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 9.00/9.28 1724. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 9.00/9.28 1725. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 9.00/9.28 1726. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 1723 1724 1725 % 9.00/9.28 1727. 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(((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1701 1728 % 9.00/9.29 1730. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.00/9.29 1731. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 308 1583 488 1720 % 9.00/9.29 1732. 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(e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 380 617 1732 1620 % 9.11/9.29 1734. 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\/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ 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(e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 692 1734 % 9.11/9.29 1736. 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(((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1701 1735 % 9.11/9.29 1737. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 702 % 9.11/9.29 1738. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != 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\/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1736 380 1667 1737 % 9.11/9.29 1739. 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/\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 141 783 1729 1738 % 9.11/9.29 1740. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.11/9.29 1741. 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((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 9.11/9.29 1743. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 9.11/9.29 1744. ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 1742 1743 57 % 9.11/9.29 1745. 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(e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) 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(e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) ### DisjTree 1740 1741 1745 488 % 9.12/9.29 1747. 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(e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 1739 1746 1745 1713 % 9.12/9.29 1748. 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((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1699 1748 % 9.12/9.30 1750. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1749 380 698 1737 % 9.12/9.30 1751. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.12/9.30 1752. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.12/9.30 1753. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 72 1752 601 % 9.12/9.30 1754. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 1314 601 % 9.12/9.30 1755. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (e0)) ### DisjTree 1751 1753 1754 488 % 9.12/9.30 1756. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (-. 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(e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 141 147 1750 1755 % 9.12/9.30 1757. 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!= (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = 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(e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1756 % 9.12/9.30 1758. 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(((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) != (e1)) ### DisjTree 2 4 6 8 10 12 1504 1506 20 1507 27 1516 30 1521 1522 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1532 418 1543 1545 427 429 1547 432 434 436 438 1689 818 446 448 450 1562 1695 456 1566 463 1697 466 1757 1121 474 476 478 480 482 484 % 9.12/9.30 1759. ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = 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((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### Or 1758 1620 % 9.12/9.30 1760. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ### Or 1759 1599 % 9.13/9.30 1761. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.30 1762. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 101 767 % 9.13/9.30 1763. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.30 1764. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.30 1765. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.30 1766. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1620 888 101 207 % 9.13/9.30 1767. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 9.13/9.30 1768. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ### ConjTree 1059 % 9.13/9.30 1769. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 1766 1767 1768 % 9.13/9.31 1770. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.31 1771. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.31 1772. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1770 1771 377 % 9.13/9.31 1773. 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(e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ 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(e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ 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(e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1773 248 383 % 9.13/9.31 1775. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 9.13/9.31 1776. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 709 207 1775 1059 % 9.13/9.31 1777. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 101 1776 % 9.13/9.31 1778. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1765 1774 151 1777 % 9.13/9.31 1779. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1764 778 1778 404 % 9.13/9.31 1780. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.31 1781. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 9.13/9.31 1782. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 345 207 1781 1768 % 9.13/9.31 1783. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 888 101 1782 % 9.13/9.31 1784. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 9.13/9.31 1785. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 9.13/9.31 1786. ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 1784 1785 57 % 9.13/9.31 1787. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1783 1786 383 % 9.13/9.31 1788. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1780 1787 424 1777 % 9.13/9.31 1789. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. 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\/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ 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((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 1763 1182 1779 1788 % 9.13/9.31 1790. 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(e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1761 1762 1255 1789 % 9.13/9.31 1791. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 9.13/9.31 1792. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 9.13/9.31 1793. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 9.13/9.31 1794. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 1791 1792 1793 % 9.13/9.31 1795. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1794 1625 646 1629 % 9.13/9.31 1796. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = 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(e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) 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\/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 1790 111 1795 % 9.13/9.31 1797. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.31 1798. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.31 1799. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.31 1800. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.31 1801. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 197 111 1625 % 9.13/9.31 1802. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1794 1801 646 1572 % 9.13/9.31 1803. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 197 111 1802 % 9.13/9.31 1804. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 101 530 % 9.13/9.31 1805. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 1803 1804 % 9.13/9.31 1806. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 1805 605 % 9.13/9.31 1807. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 9.13/9.31 1808. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 9.13/9.31 1809. ((e0) != (e2)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e2)) ### TransEq-sym 1807 1808 57 % 9.13/9.31 1810. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 940 646 1809 % 9.13/9.31 1811. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 197 111 1810 % 9.13/9.31 1812. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 1811 1804 % 9.13/9.31 1813. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 1812 605 % 9.13/9.31 1814. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1806 271 248 1813 % 9.13/9.31 1815. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 9.13/9.31 1816. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 9.13/9.31 1817. ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 1815 1816 57 % 9.13/9.31 1818. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1800 1814 151 1817 % 9.13/9.31 1819. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1157 271 1786 287 % 9.13/9.31 1820. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1799 239 1818 1819 % 9.13/9.31 1821. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1798 783 1820 308 % 9.13/9.31 1822. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.31 1823. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.31 1824. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.31 1825. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.31 1826. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 245 1786 383 % 9.13/9.31 1827. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.31 1828. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 1804 207 % 9.13/9.31 1829. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.31 1830. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 1829 576 % 9.13/9.31 1831. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1827 1828 1255 1830 % 9.13/9.31 1832. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.31 1833. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1832 1826 151 1817 % 9.13/9.31 1834. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1833 207 926 1809 % 9.13/9.31 1835. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 9.13/9.31 1836. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 9.13/9.31 1837. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 9.13/9.31 1838. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 1835 1836 1837 % 9.13/9.31 1839. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 724 1838 222 1161 % 9.13/9.31 1840. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.31 1841. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1834 1839 1840 576 % 9.13/9.31 1842. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 888 1841 207 % 9.13/9.31 1843. ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1842 245 1786 383 % 9.13/9.31 1844. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1825 1826 1831 1843 % 9.13/9.31 1845. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 9.13/9.31 1846. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 1844 1845 1059 % 9.13/9.31 1847. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1846 1060 1692 % 9.13/9.32 1848. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1847 1786 383 % 9.13/9.32 1849. ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1824 1848 151 1817 % 9.13/9.32 1850. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.32 1851. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 245 248 383 % 9.13/9.32 1852. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 9.13/9.32 1853. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 1772 1851 1852 1059 % 9.13/9.32 1854. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1850 1853 1830 1817 % 9.13/9.32 1855. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (e2)) ### DisjTree 1823 1849 1854 404 % 9.13/9.32 1856. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1822 783 1855 308 % 9.13/9.32 1857. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1797 1821 1255 1856 % 9.13/9.32 1858. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 9.13/9.32 1859. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 1772 207 1858 1188 % 9.13/9.32 1860. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1857 1859 926 1809 % 9.13/9.32 1861. 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(((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = 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(e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 101 1861 % 9.13/9.32 1863. 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\/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ 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= (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 1790 1863 % 9.13/9.32 1865. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### DisjTree 1760 888 1862 1864 % 9.13/9.32 1866. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 1811 530 % 9.13/9.32 1867. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 767 1866 % 9.13/9.32 1868. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 1812 1867 % 9.13/9.32 1869. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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\/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e1)) ### DisjTree 1865 271 248 1868 % 9.13/9.32 1870. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1777 111 1795 % 9.13/9.32 1871. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1817 1859 926 1809 % 9.13/9.32 1872. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1870 1871 % 9.13/9.33 1873. 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(e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 1790 1872 % 9.13/9.33 1874. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 392 1870 1860 % 9.13/9.33 1875. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 1777 1874 % 9.13/9.33 1876. ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) 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(e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) 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(e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 1876 1776 % 9.13/9.33 1878. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1777 111 1810 % 9.13/9.33 1879. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1877 271 1786 1878 % 9.13/9.33 1880. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e2)) ### DisjTree 1511 1869 151 1879 % 9.13/9.33 1881. 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\/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1510 239 1880 1819 % 9.13/9.33 1882. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 1821 1782 926 1809 % 9.13/9.33 1883. ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 1509 1182 1881 1882 % 9.13/9.33 1884. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.33 1885. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.33 1886. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.33 1887. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1846 1060 1772 % 9.13/9.33 1888. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1887 1786 383 % 9.13/9.33 1889. ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1855 1776 926 1809 % 9.13/9.33 1890. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1886 1888 151 1889 % 9.13/9.34 1891. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op 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((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. 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/\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ 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(e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1891 298 1892 576 % 9.13/9.34 1894. 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(e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1853 883 121 1893 % 9.13/9.34 1895. 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((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1885 1890 1894 404 % 9.13/9.34 1896. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.34 1897. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.34 1898. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1846 1060 345 % 9.13/9.34 1899. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1898 1786 383 % 9.13/9.34 1900. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.34 1901. ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) = (e2)) ### DisjTree 1889 1839 1900 576 % 9.13/9.34 1902. ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = 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(((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### DisjTree 1760 888 1901 1782 % 9.13/9.34 1903. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 9.13/9.34 1904. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 709 245 1903 1195 % 9.13/9.34 1905. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1060 584 154 1904 % 9.13/9.34 1906. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1817 1776 1668 1809 % 9.13/9.34 1907. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) 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(((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op 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(e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 1779 1905 1906 % 9.13/9.34 1908. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.34 1909. 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\/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ 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(op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1907 298 1908 576 % 9.13/9.34 1910. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1846 617 1909 1871 % 9.13/9.34 1911. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1910 1846 1060 1772 % 9.13/9.35 1912. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e0)) = (e1)) ### DisjTree 1902 1911 1786 383 % 9.13/9.35 1913. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) 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(e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1896 1913 1894 404 % 9.13/9.35 1915. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ### DisjTree 1508 1883 1255 1915 % 9.13/9.35 1917. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.35 1918. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.35 1919. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.35 1920. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.35 1921. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1242 197 111 1795 % 9.13/9.35 1922. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 1921 530 % 9.13/9.35 1923. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1922 1859 % 9.13/9.35 1924. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 767 1923 % 9.13/9.35 1925. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 724 1924 % 9.13/9.35 1926. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1925 271 248 1868 % 9.13/9.35 1927. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 724 1776 % 9.13/9.35 1928. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1920 1926 151 1927 % 9.13/9.35 1929. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1919 239 1928 1819 % 9.13/9.35 1930. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 724 1782 % 9.13/9.35 1931. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1918 783 1929 1930 % 9.13/9.35 1932. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.35 1933. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.35 1934. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.35 1935. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 9.13/9.35 1936. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 9.13/9.35 1937. ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 1935 1936 57 % 9.13/9.35 1938. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.35 1939. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.35 1940. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1938 1939 377 % 9.13/9.35 1941. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1846 1937 1940 % 9.13/9.35 1942. ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1934 1941 1242 1927 % 9.13/9.35 1943. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.35 1944. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1943 1853 151 1927 % 9.13/9.35 1945. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (e2)) ### DisjTree 1933 1942 1944 404 % 9.13/9.35 1946. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1932 783 1945 1930 % 9.13/9.35 1947. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1917 1931 1255 1946 % 9.13/9.35 1948. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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!= (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1948 % 9.13/9.36 1950. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ### ConjTree 617 % 9.13/9.36 1951. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.36 1952. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.36 1953. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 199 530 % 9.13/9.36 1954. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 1762 1953 % 9.13/9.36 1955. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.36 1956. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1955 271 1667 938 % 9.13/9.36 1957. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.36 1958. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1957 271 248 938 % 9.13/9.36 1959. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 9.13/9.36 1960. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 9.13/9.36 1961. ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 1959 1960 57 % 9.13/9.36 1962. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1956 239 1958 1961 % 9.13/9.36 1963. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1952 783 1954 1962 % 9.13/9.36 1964. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.36 1965. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.36 1966. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.36 1967. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 1965 1643 1966 % 9.13/9.36 1968. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ### ConjTree 154 % 9.13/9.36 1969. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 9.13/9.36 1970. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 251 101 1968 1969 % 9.13/9.36 1971. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1937 1970 915 572 % 9.13/9.36 1972. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.13/9.36 1973. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 345 568 920 1972 % 9.13/9.36 1974. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1964 1967 1971 1973 % 9.13/9.36 1975. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 9.13/9.36 1976. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 9.13/9.36 1977. ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 1975 1976 57 % 9.13/9.36 1978. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1951 1963 1974 1977 % 9.13/9.36 1979. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1978 % 9.13/9.36 1980. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ### ConjTree 888 % 9.13/9.36 1981. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.36 1982. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 9.13/9.36 1983. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.36 1984. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 843 % 9.13/9.36 1985. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ### DisjTree 1982 1983 1984 171 % 9.13/9.36 1986. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 1981 1985 % 9.13/9.36 1987. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 888 1986 1706 % 9.13/9.36 1988. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.36 1989. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 9.13/9.36 1990. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.36 1991. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.36 1992. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.36 1993. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.36 1994. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1891 1839 1993 576 % 9.13/9.36 1995. 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(e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 121 1994 % 9.13/9.36 1996. (-. 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(e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != 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(e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 1995 1776 % 9.13/9.36 1997. 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(e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (-. 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(e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1992 1826 1830 1997 % 9.13/9.36 1999. 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(e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. 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((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = 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(e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 2000 % 9.13/9.37 2002. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.37 2003. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.37 2004. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 2003 245 292 938 % 9.13/9.37 2005. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2002 1828 2004 1977 % 9.13/9.37 2006. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2005 % 9.13/9.37 2007. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.37 2008. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.37 2009. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 2008 908 % 9.13/9.37 2010. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 888 2009 1706 % 9.13/9.37 2011. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 1097 245 292 2010 % 9.13/9.37 2012. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2007 1828 2011 1830 % 9.13/9.37 2013. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2012 1543 1831 1718 % 9.13/9.37 2014. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2013 % 9.13/9.37 2015. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.37 2016. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (e1)) ### ConjTree 2015 % 9.13/9.37 2017. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.37 2018. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.13/9.37 2019. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 839 2017 736 2018 % 9.13/9.37 2020. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.37 2021. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 9.13/9.37 2022. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 9.13/9.37 2023. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 9.13/9.37 2024. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 2021 2022 2023 % 9.13/9.37 2025. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 2024 720 121 878 % 9.13/9.37 2026. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.37 2027. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 736 % 9.13/9.37 2028. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.13/9.37 2029. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 2025 2026 2027 2028 % 9.13/9.37 2030. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.13/9.37 2031. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 2029 2030 601 % 9.13/9.37 2032. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 2020 2031 % 9.13/9.37 2033. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2032 658 % 9.13/9.37 2034. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.13/9.37 2035. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 2029 2034 1645 % 9.13/9.37 2036. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.37 2037. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2035 1839 2036 746 % 9.13/9.37 2038. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 2037 658 % 9.13/9.37 2039. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 888 2038 207 % 9.13/9.37 2040. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2033 1614 443 2039 % 9.13/9.37 2041. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2040 178 746 756 % 9.13/9.37 2042. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 207 2019 2041 % 9.13/9.37 2043. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2042 883 101 530 % 9.13/9.37 2044. 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(((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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\/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ### DisjTree 1759 888 2043 207 % 9.13/9.37 2045. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.37 2046. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.37 2047. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.13/9.37 2048. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 1786 2029 2047 601 % 9.13/9.37 2049. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 2046 2048 % 9.13/9.37 2050. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 2049 658 % 9.13/9.37 2051. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2045 1828 1255 2050 % 9.13/9.37 2052. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 9.13/9.37 2053. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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(((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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(((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2053 % 9.13/9.37 2055. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.37 2056. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (e1)) ### ConjTree 2055 % 9.13/9.37 2057. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. 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((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e1)) ### DisjTree 2 4 6 8 10 12 1504 1585 20 1507 27 2001 30 1950 2006 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1980 418 2014 2016 427 429 1587 432 434 436 438 2054 818 446 448 450 1562 1588 456 2056 463 1697 466 1593 1121 474 476 478 480 482 484 % 9.13/9.37 2058. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ### ConjTree 1628 % 9.13/9.37 2059. 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\/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e3) (e0)) != (e3)) ### DisjTree 1989 2057 601 2058 % 9.13/9.38 2060. ((op (e3) (e0)) != (e3)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1255 77 1988 2059 % 9.13/9.38 2061. 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((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1987 1542 2060 1718 % 9.13/9.38 2062. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) 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(e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != 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\/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 2061 % 9.13/9.38 2063. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.38 2064. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.38 2065. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 72 2064 2031 % 9.13/9.38 2066. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 2065 658 % 9.13/9.38 2067. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.13/9.38 2068. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2066 178 746 2067 % 9.13/9.38 2069. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.13/9.38 2070. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 2029 192 746 2069 % 9.13/9.38 2071. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 2070 332 % 9.13/9.38 2072. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2071 658 % 9.13/9.38 2073. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 888 2068 2072 % 9.13/9.38 2074. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.38 2075. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.13/9.38 2076. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1602 1630 2075 601 % 9.13/9.38 2077. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e0) (e3)) != (e0)) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1632 77 2074 2076 % 9.13/9.38 2078. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1630 2077 % 9.13/9.38 2079. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 101 2078 % 9.13/9.38 2080. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2079 883 121 658 % 9.13/9.38 2081. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 767 2078 % 9.13/9.38 2082. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2081 883 121 658 % 9.13/9.38 2083. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 2080 2082 % 9.13/9.38 2084. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 2073 239 2083 663 % 9.13/9.38 2085. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 9.13/9.38 2086. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 9.13/9.38 2087. ((op (e2) (op (e2) (e2))) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 85 2086 % 9.13/9.38 2088. ((e1) != (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 2087 71 % 9.13/9.38 2089. ((op (e2) (op (e2) (e2))) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans 2087 71 % 9.13/9.38 2090. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) ### NotEqual 2089 85 % 9.13/9.38 2091. ((e3) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e1) (e2)) = (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 2090 185 % 9.13/9.38 2092. (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### DisjTree 2085 2088 2091 % 9.13/9.38 2093. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.38 2094. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 2092 298 2093 746 % 9.13/9.38 2095. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 1255 2068 2094 2019 % 9.13/9.38 2096. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 2095 1632 % 9.13/9.38 2097. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 2029 332 % 9.13/9.38 2098. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 2097 658 % 9.13/9.38 2099. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 888 2066 2098 % 9.13/9.38 2100. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2063 2084 2096 2099 % 9.13/9.38 2101. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.38 2102. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 9.13/9.38 2103. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ### DisjTree 2102 2071 646 1629 % 9.13/9.38 2104. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 964 867 1632 % 9.13/9.38 2105. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.38 2106. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.13/9.38 2107. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1602 2103 2106 601 % 9.13/9.38 2108. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2104 77 2105 2107 % 9.13/9.38 2109. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.38 2110. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2108 160 2109 1617 % 9.13/9.38 2111. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 2110 2051 % 9.13/9.38 2112. ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 2103 2111 % 9.13/9.38 2113. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 101 2112 % 9.13/9.38 2114. ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2113 658 % 9.13/9.38 2115. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 767 2112 % 9.13/9.38 2116. ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2115 658 % 9.13/9.39 2117. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 2114 2116 % 9.13/9.39 2118. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 2117 239 2083 663 % 9.13/9.39 2119. ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2101 2118 1255 2050 % 9.13/9.39 2120. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 9.13/9.39 2121. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) 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/\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ 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(e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2100 1760 2119 2120 % 9.13/9.39 2122. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2121 % 9.13/9.39 2123. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.39 2124. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.39 2125. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 9.13/9.39 2126. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ### ConjTree 1744 % 9.13/9.39 2127. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 9.13/9.39 2128. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ### DisjTree 1977 332 1229 2127 % 9.13/9.39 2129. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 9.13/9.39 2130. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2128 993 746 2129 % 9.13/9.39 2131. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) ### DisjTree 2125 197 2126 2130 % 9.13/9.39 2132. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 2131 1804 % 9.13/9.39 2133. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 617 2092 2132 % 9.13/9.39 2134. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 2131 207 % 9.13/9.39 2135. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 617 2092 2134 % 9.13/9.39 2136. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 2133 2135 % 9.13/9.39 2137. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 2124 783 2136 345 % 9.13/9.39 2138. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.39 2139. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 617 2092 2128 % 9.13/9.39 2140. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 2138 783 2139 345 % 9.13/9.39 2141. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2123 2137 1973 2140 % 9.13/9.39 2142. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2141 % 9.13/9.39 2143. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.39 2144. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.39 2145. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 77 2144 601 % 9.13/9.39 2146. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.39 2147. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2104 77 2146 601 % 9.13/9.39 2148. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.13/9.39 2149. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.39 2150. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.13/9.39 2151. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1769 1937 1940 % 9.13/9.39 2152. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) (-. 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(e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != 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(e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2150 2151 1242 1927 % 9.13/9.39 2153. 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(e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2149 1762 1255 2152 % 9.13/9.39 2154. 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ 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(e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1790 2153 2154 % 9.13/9.39 2156. 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(e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2155 % 9.13/9.39 2157. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.39 2158. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1520 888 101 207 % 9.13/9.39 2159. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 197 2158 % 9.13/9.39 2160. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.39 2161. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.39 2162. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1937 101 915 572 % 9.13/9.39 2163. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2161 1643 2162 1973 % 9.13/9.39 2164. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.39 2165. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.39 2166. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 2165 1551 377 % 9.13/9.39 2167. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2164 1967 2162 2166 % 9.13/9.39 2168. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.39 2169. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2168 1967 2162 709 % 9.13/9.40 2170. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2163 2167 151 2169 % 9.13/9.40 2171. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.40 2172. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2171 1967 2162 345 % 9.13/9.40 2173. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 2160 1182 2170 2172 % 9.13/9.40 2174. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2157 2159 2173 1977 % 9.13/9.40 2175. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.40 2176. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.40 2177. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.40 2178. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2177 1643 1937 1973 % 9.13/9.40 2179. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.40 2180. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2179 1967 1937 2166 % 9.13/9.40 2181. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.40 2182. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 9.13/9.40 2183. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 9.13/9.40 2184. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 9.13/9.40 2185. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 2182 2183 2184 % 9.13/9.40 2186. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.40 2187. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2181 2185 2186 % 9.13/9.40 2188. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2178 2180 151 2187 % 9.13/9.40 2189. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.13/9.40 2190. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2189 1643 1937 345 % 9.13/9.40 2191. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2190 2180 1242 2187 % 9.13/9.40 2192. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 2176 783 2188 2191 % 9.13/9.40 2193. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2175 2159 2192 1977 % 9.13/9.40 2194. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1520 888 101 605 % 9.13/9.40 2195. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 2174 2193 2194 % 9.13/9.40 2196. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2195 % 9.13/9.40 2197. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.40 2198. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 197 1588 % 9.13/9.40 2199. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2197 2198 1973 2140 % 9.13/9.40 2200. ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2199 % 9.13/9.40 2201. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.13/9.40 2202. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 101 1583 % 9.13/9.40 2203. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op 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\/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ 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((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1749 888 101 1583 % 9.13/9.40 2204. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 888 101 1583 % 9.23/9.40 2205. ((op (e0) (e2)) != (op (e3) (e2))) (-. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2203 2204 698 1737 % 9.23/9.40 2206. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.23/9.40 2207. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 2206 1116 1204 698 % 9.23/9.40 2208. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.40 2209. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 2185 964 2207 2208 % 9.23/9.40 2210. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1645 515 2209 576 % 9.23/9.40 2211. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2201 2202 2205 2210 % 9.23/9.40 2212. 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(((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) 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((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2213 1766 % 9.23/9.40 2215. ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = 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/\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2147 160 2148 2215 % 9.23/9.41 2217. ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. 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/\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2145 617 692 2216 % 9.23/9.41 2218. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) 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(e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 101 2217 % 9.23/9.41 2219. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.23/9.41 2220. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.23/9.41 2221. ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1741 72 2220 601 % 9.23/9.41 2222. ((op (e1) (e3)) = (e2)) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = 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(e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 2214 1744 658 % 9.23/9.41 2223. 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(e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (e0)) ### DisjTree 2219 2221 2222 488 % 9.23/9.41 2224. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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(e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2145 392 692 2223 % 9.23/9.41 2225. (-. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. 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(((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2218 2224 % 9.23/9.41 2226. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) 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(op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 2225 1583 % 9.23/9.41 2227. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 778 867 1632 % 9.23/9.42 2228. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.23/9.42 2229. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op 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((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2227 298 2228 2215 % 9.23/9.42 2230. 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(e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != 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\/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 2229 % 9.23/9.42 2231. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.23/9.42 2232. 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(e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2104 298 2231 2215 % 9.23/9.42 2233. 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(e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2230 883 101 2233 % 9.23/9.42 2235. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.23/9.42 2236. 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(e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. 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(((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op 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/\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ 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(e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 392 692 2236 % 9.23/9.42 2238. (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e2)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op 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(e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2234 2237 % 9.23/9.43 2239. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. 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(((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1749 888 2238 1583 % 9.23/9.43 2240. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != 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\/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ 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((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 888 2238 1583 % 9.23/9.43 2241. (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ 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(e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 2239 2240 292 1737 % 9.23/9.43 2242. ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. 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(e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e1)) ### DisjTree 2143 2226 2241 1755 % 9.23/9.43 2243. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) 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(op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ### ConjTree 2242 % 9.23/9.43 2244. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. 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((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) != (e1)) ### DisjTree 2 4 6 8 10 12 1504 1506 20 1507 27 1949 30 1950 1979 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1980 418 2062 2016 427 429 1547 432 434 436 438 2122 818 446 448 450 1562 2142 456 2056 463 1697 466 2243 1121 474 476 478 480 482 484 % 9.23/9.43 2245. ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2244 2057 % 9.23/9.43 2246. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op 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((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ### Or 2245 2214 % 9.23/9.44 2247. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2246 1760 % 9.23/9.44 2248. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op 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(e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ### ConjTree 2247 % 9.23/9.44 2249. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ### ConjTree 946 % 9.23/9.44 2250. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.23/9.44 2251. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2252. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2250 2251 377 % 9.23/9.44 2253. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 9.23/9.44 2254. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.23/9.44 2255. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2256. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2257. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 2256 867 588 % 9.23/9.44 2258. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2255 1468 111 2257 % 9.23/9.44 2259. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2260. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1157 380 698 287 % 9.23/9.44 2261. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2259 1468 111 2260 % 9.23/9.44 2262. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2254 2258 2261 1149 % 9.23/9.44 2263. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 2252 2253 2262 796 % 9.23/9.44 2264. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### ConjTree 2263 % 9.23/9.44 2265. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2266. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) != (e2)) ### ConjTree 2265 % 9.23/9.44 2267. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.44 2268. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e3)) != (e2)) ### ConjTree 2267 % 9.23/9.44 2269. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2270. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.44 2271. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2272. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.44 2273. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 850 2271 2272 % 9.23/9.44 2274. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1937 2273 1744 572 % 9.23/9.44 2275. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2276. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 9.23/9.44 2277. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 9.23/9.44 2278. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 9.23/9.44 2279. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 2276 2277 2278 % 9.23/9.44 2280. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 9.23/9.44 2281. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 9.23/9.44 2282. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 9.23/9.44 2283. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 2280 2281 2282 % 9.23/9.44 2284. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.44 2285. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 709 2279 2283 2284 % 9.23/9.44 2286. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2275 2285 111 1961 % 9.23/9.44 2287. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 2270 325 2274 2286 % 9.23/9.44 2288. ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2269 2287 111 1961 % 9.23/9.44 2289. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 2288 % 9.23/9.44 2290. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ### ConjTree 1744 % 9.23/9.44 2291. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2292. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.23/9.44 2293. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2294. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.23/9.44 2295. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2296. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 2294 783 2295 392 % 9.23/9.44 2297. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 2293 867 2296 % 9.23/9.44 2298. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 2292 2297 1580 % 9.23/9.44 2299. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2291 2298 111 2257 % 9.23/9.44 2300. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2299 % 9.23/9.44 2301. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2302. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e0)) != (e2)) ### ConjTree 2301 % 9.23/9.44 2303. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.44 2304. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e3)) != (e2)) ### ConjTree 2303 % 9.23/9.44 2305. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.44 2306. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1157 266 736 2305 % 9.23/9.44 2307. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2308. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 9.23/9.44 2309. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 9.23/9.44 2310. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 9.23/9.44 2311. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 2308 2309 2310 % 9.23/9.44 2312. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 9.23/9.44 2313. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 9.23/9.44 2314. ((op (e1) (op (e1) (e1))) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 71 2313 % 9.23/9.44 2315. ((e2) != (op (e1) (op (e1) (e1)))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 2314 85 % 9.23/9.44 2316. ((op (e1) (op (e1) (e1))) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans 2314 85 % 9.23/9.44 2317. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e2)) ### NotEqual 2316 71 % 9.23/9.44 2318. ((e3) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e2) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 2317 185 % 9.23/9.44 2319. (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### DisjTree 2312 2315 2318 % 9.23/9.44 2320. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2321. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2322. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 2319 178 2320 2321 % 9.23/9.44 2323. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 9.23/9.44 2324. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 9.23/9.44 2325. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 9.23/9.44 2326. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 2323 2324 2325 % 9.23/9.44 2327. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2328. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2329. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ### DisjTree 2326 178 2327 2328 % 9.23/9.44 2330. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 245 488 1195 % 9.23/9.44 2331. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 2329 2330 1541 % 9.23/9.44 2332. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 2322 154 2331 % 9.23/9.44 2333. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2311 1744 2332 % 9.23/9.44 2334. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2335. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2336. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2337. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2311 178 2335 2336 % 9.23/9.44 2338. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.44 2339. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1817 530 2283 2338 % 9.23/9.44 2340. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 530 488 1195 % 9.23/9.44 2341. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.44 2342. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1162 2340 2283 2341 % 9.23/9.44 2343. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.44 2344. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2342 266 646 2343 % 9.23/9.44 2345. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2339 207 2344 1541 % 9.23/9.44 2346. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 255 154 2345 % 9.23/9.44 2347. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2337 1744 2346 % 9.23/9.44 2348. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2333 2334 2322 2347 % 9.23/9.44 2349. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2350. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2348 2349 867 266 % 9.23/9.44 2351. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2350 2337 2329 % 9.23/9.44 2352. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.44 2353. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2354. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2355. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 380 2354 2322 530 % 9.23/9.44 2356. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 2353 803 2355 % 9.23/9.44 2357. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 9.23/9.44 2358. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 9.23/9.44 2359. ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 2357 2358 57 % 9.23/9.44 2360. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 2359 2319 530 % 9.23/9.44 2361. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 803 2360 % 9.23/9.44 2362. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2363. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2339 207 2342 1541 % 9.23/9.44 2364. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 255 154 2363 % 9.23/9.44 2365. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2337 1744 2364 % 9.23/9.44 2366. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2333 2362 2319 2365 % 9.23/9.44 2367. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2368. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 2329 2340 1541 % 9.23/9.44 2369. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 2322 154 2368 % 9.23/9.44 2370. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2311 1744 2369 % 9.23/9.44 2371. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2366 2367 515 2370 % 9.23/9.44 2372. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 311 2330 1541 % 9.23/9.44 2373. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 584 154 2372 % 9.23/9.44 2374. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2311 1744 2373 % 9.23/9.44 2375. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2376. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2374 2375 2319 498 % 9.23/9.44 2377. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2378. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2379. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 226 2306 308 % 9.23/9.44 2380. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 345 498 488 1195 % 9.23/9.44 2381. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2379 311 2380 1629 % 9.23/9.44 2382. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 584 154 2381 % 9.23/9.44 2383. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2384. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 1531 349 2279 584 % 9.23/9.44 2385. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.44 2386. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.44 2387. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 2384 178 2385 2386 % 9.23/9.44 2388. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 2382 2383 2387 530 % 9.23/9.44 2389. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 2378 2388 993 % 9.23/9.44 2390. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2376 2377 803 2389 % 9.23/9.44 2391. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2361 888 2371 2390 % 9.23/9.44 2392. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2356 2391 2337 2329 % 9.23/9.44 2393. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2352 2392 843 1162 % 9.23/9.44 2394. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2307 2351 111 2393 % 9.23/9.45 2395. ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 226 2306 2394 % 9.23/9.45 2396. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.45 2397. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2356 2396 867 266 % 9.23/9.45 2398. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2306 160 946 203 % 9.23/9.45 2399. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 2398 1255 511 % 9.23/9.45 2400. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2399 % 9.23/9.45 2401. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 9.23/9.45 2402. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2395 2397 2400 2401 % 9.23/9.45 2403. ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2402 % 9.23/9.45 2404. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ### ConjTree 154 % 9.23/9.45 2405. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 843 % 9.23/9.45 2406. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 803 % 9.23/9.45 2407. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 338 843 580 % 9.23/9.45 2408. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.45 2409. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2408 2361 843 709 % 9.23/9.45 2410. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 9.23/9.45 2411. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.45 2412. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.45 2413. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2311 1838 964 584 % 9.23/9.45 2414. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 2412 803 2413 % 9.23/9.45 2415. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 9.23/9.45 2416. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.45 2417. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 9.23/9.45 2418. ((e3) != (op (e1) (op (e1) (e1)))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 2314 185 % 9.23/9.45 2419. ((op (e1) (op (e1) (e1))) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans 2314 185 % 9.23/9.45 2420. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e3)) ### NotEqual 2419 71 % 9.23/9.45 2421. ((e2) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 2420 85 % 9.23/9.45 2422. (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### DisjTree 2417 2418 2421 % 9.23/9.45 2423. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 2422 2359 878 993 % 9.23/9.45 2424. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 2416 803 2423 % 9.23/9.45 2425. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 2415 888 369 2424 % 9.23/9.45 2426. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1157 2414 2425 287 % 9.23/9.45 2427. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2411 2285 111 2426 % 9.23/9.45 2428. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2407 2410 2427 345 % 9.23/9.45 2429. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.45 2430. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2429 2285 111 404 % 9.23/9.45 2431. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2407 2409 2428 2430 % 9.23/9.45 2432. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 9.23/9.45 2433. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1692 2326 926 2432 % 9.23/9.45 2434. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2431 1531 2433 2286 % 9.23/9.45 2435. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2434 % 9.23/9.45 2436. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.45 2437. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.23/9.45 2438. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ### DisjTree 2326 349 2422 255 % 9.23/9.45 2439. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2311 160 803 2438 % 9.23/9.45 2440. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.45 2441. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 849 2440 515 530 % 9.23/9.45 2442. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 338 222 2441 % 9.23/9.45 2443. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.45 2444. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2442 530 2283 2443 % 9.23/9.45 2445. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 2439 888 2444 498 % 9.23/9.45 2446. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 2437 2445 850 207 % 9.23/9.45 2447. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 2446 849 460 % 9.23/9.45 2448. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.23/9.45 2449. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.45 2450. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2361 2449 867 588 % 9.23/9.45 2451. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2450 888 2444 498 % 9.23/9.45 2452. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.45 2453. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 850 2452 101 530 % 9.23/9.45 2454. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 2448 2451 2453 207 % 9.23/9.45 2455. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2436 2447 111 2454 % 9.23/9.45 2456. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.23/9.45 2457. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.23/9.45 2458. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 1515 % 9.23/9.45 2459. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 9.23/9.45 2460. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) = (e1)) ### ConjTree 2459 % 9.23/9.45 2461. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 9.23/9.45 2462. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) = (e3)) ### ConjTree 2461 % 9.23/9.45 2463. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 1794 % 9.23/9.45 2464. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 1794 % 9.23/9.45 2465. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 363 % 9.23/9.45 2466. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 9.23/9.45 2467. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e2)) = (e0)) ### ConjTree 2466 % 9.23/9.45 2468. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 9.23/9.45 2469. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) = (e3)) ### ConjTree 2468 % 9.23/9.45 2470. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 9.23/9.45 2471. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 9.23/9.45 2472. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 9.23/9.45 2473. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq-sym 2470 2471 2472 % 9.23/9.45 2474. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 2473 % 9.23/9.45 2475. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 2473 % 9.23/9.45 2476. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 471 % 9.23/9.45 2477. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### ConjTree 2024 % 9.23/9.45 2478. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 1592 % 9.23/9.45 2479. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ### ConjTree 342 % 9.23/9.45 2480. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 9.23/9.45 2481. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e2)) = (e0)) ### ConjTree 2480 % 9.23/9.45 2482. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 9.23/9.45 2483. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) = (e1)) ### ConjTree 2482 % 9.23/9.45 2484. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ 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((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2458 20 2460 27 2462 30 2463 2464 38 40 42 2290 2465 48 50 52 54 2467 61 63 2469 2474 138 2475 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2476 2477 456 2478 463 2479 466 2481 2483 474 476 478 480 482 484 % 9.23/9.45 2485. 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 926 353 2283 2484 % 9.23/9.45 2486. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 545 1786 287 % 9.23/9.45 2487. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.45 2488. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2486 266 736 2487 % 9.23/9.45 2489. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) (-. 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(e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 888 2485 2488 % 9.23/9.45 2490. 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(e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 2457 2489 724 207 % 9.23/9.45 2491. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2490 338 222 849 % 9.23/9.45 2492. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 2491 849 460 % 9.23/9.46 2493. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.46 2494. 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(e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 2494 111 2495 % 9.23/9.46 2497. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.46 2498. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.23/9.46 2499. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.46 2500. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 1961 266 736 2499 % 9.23/9.46 2501. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 321 888 834 2500 % 9.23/9.46 2502. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 2498 2501 850 207 % 9.23/9.46 2503. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2497 2502 111 1961 % 9.23/9.46 2504. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ 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(((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2455 2456 2496 2503 % 9.23/9.46 2505. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. 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(e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2504 % 9.23/9.46 2506. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.46 2507. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e0)) != (e2)) ### ConjTree 2506 % 9.23/9.46 2508. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.46 2509. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) != (e2)) ### ConjTree 2508 % 9.23/9.46 2510. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. 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/\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2264 20 2266 27 2268 30 2289 1968 38 40 42 2290 2300 48 50 52 54 2302 61 63 2304 2403 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2435 2126 456 2505 463 1463 466 2507 2509 474 476 478 480 482 484 % 9.23/9.46 2511. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 2262 % 9.23/9.46 2512. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.46 2513. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.46 2514. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.46 2515. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 2514 325 849 471 % 9.23/9.46 2516. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2513 2515 111 1961 % 9.23/9.46 2517. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.46 2518. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.46 2519. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2518 688 1937 709 % 9.23/9.46 2520. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2517 651 843 2519 % 9.23/9.46 2521. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.46 2522. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.46 2523. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 338 2521 2522 % 9.23/9.46 2524. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.46 2525. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.46 2526. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 218 2524 2525 % 9.23/9.46 2527. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2516 2520 2523 2526 % 9.23/9.46 2528. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2527 2273 1744 572 % 9.23/9.46 2529. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2512 2528 111 1961 % 9.23/9.46 2530. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 2529 % 9.23/9.46 2531. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.23/9.46 2532. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.23/9.46 2533. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.23/9.46 2534. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1182 2533 1719 1706 % 9.23/9.46 2535. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 576 588 702 % 9.23/9.46 2536. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 2534 266 2535 756 % 9.23/9.46 2537. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 392 692 2536 % 9.23/9.46 2538. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 2532 867 2537 % 9.23/9.46 2539. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2531 2538 1580 % 9.23/9.46 2540. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 9.23/9.46 2541. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 9.23/9.46 2542. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 9.23/9.46 2543. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 2540 2541 2542 % 9.23/9.46 2544. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 2543 353 867 692 % 9.23/9.46 2545. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1255 363 946 2544 % 9.23/9.46 2546. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### ConjTree 2545 % 9.23/9.46 2547. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2539 2258 2546 1718 % 9.23/9.46 2548. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2547 % 9.23/9.46 2549. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.46 2550. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 2549 692 993 % 9.23/9.46 2551. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 2550 % 9.23/9.46 2552. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2511 20 2266 27 2462 30 2530 1968 38 40 42 2290 2548 48 50 52 54 2302 61 63 2469 2551 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2476 2126 456 2478 463 1463 466 2507 2509 474 476 478 480 482 484 % 9.23/9.46 2553. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 2510 2552 % 9.23/9.47 2554. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.23/9.47 2555. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 2554 147 369 398 % 9.23/9.47 2556. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2555 % 9.23/9.47 2557. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.47 2558. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 311 353 796 % 9.23/9.47 2559. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 207 698 2558 % 9.23/9.47 2560. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 926 369 111 698 % 9.23/9.47 2561. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1794 72 1744 2560 % 9.23/9.47 2562. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### ConjTree 2561 % 9.23/9.47 2563. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2559 329 154 2562 % 9.23/9.47 2564. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 2359 850 2563 % 9.23/9.47 2565. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2557 2564 111 1961 % 9.23/9.47 2566. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.47 2567. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2566 239 111 1961 % 9.23/9.47 2568. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2565 2567 369 1977 % 9.23/9.47 2569. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2568 % 9.23/9.47 2570. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 345 2384 353 398 % 9.23/9.47 2571. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 2570 154 1196 % 9.23/9.47 2572. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 685 803 2571 % 9.23/9.47 2573. 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(((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2407 2409 369 2572 % 9.23/9.47 2574. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2573 1531 2433 2286 % 9.23/9.47 2575. 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(((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2574 % 9.23/9.47 2576. 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(e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2556 20 2460 27 2268 30 2569 1968 38 40 42 2290 2465 48 50 52 54 2302 61 63 2304 2474 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2575 2126 456 835 463 1463 466 2507 2483 474 476 478 480 482 484 % 9.23/9.47 2577. 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\/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### Or 2576 2577 % 9.23/9.47 2579. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2553 2578 % 9.23/9.47 2580. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.23/9.47 2581. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 2543 2474 867 692 % 9.23/9.47 2582. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 255 2582 1628 % 9.23/9.47 2584. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 9.23/9.47 2585. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2584 207 692 1195 % 9.23/9.47 2586. 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((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op 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(e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 1786 2585 154 2582 % 9.23/9.47 2587. 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\/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) 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(e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 2580 724 2587 % 9.23/9.48 2589. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 9.23/9.48 2590. 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/\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2588 688 1937 2589 % 9.23/9.48 2591. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 9.23/9.48 2592. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ### ConjTree 1628 % 9.23/9.48 2593. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2591 530 2544 2592 % 9.23/9.48 2594. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 9.23/9.48 2595. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1817 2593 2283 2594 % 9.23/9.48 2596. 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1182 2590 2596 % 9.23/9.48 2598. 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\/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ 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/\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2597 % 9.23/9.48 2599. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (-. 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(e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2496 % 9.23/9.48 2601. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. 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(((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2458 20 2266 27 2268 30 2463 2464 38 40 42 2290 2598 48 50 52 54 2467 61 63 2304 2400 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2599 2477 456 2600 463 1463 466 2481 2509 474 476 478 480 482 484 % 9.23/9.48 2602. 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(e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 2601 2582 % 9.23/9.48 2603. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2602 2485 % 9.23/9.48 2604. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 2579 2603 % 9.23/9.49 2605. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. 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(((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 2604 % 9.23/9.49 2606. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.23/9.49 2607. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2608. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2606 236 2607 % 9.23/9.49 2609. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 9.23/9.49 2610. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.23/9.49 2611. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2612. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.49 2613. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 2612 878 1188 % 9.23/9.49 2614. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2611 380 2613 492 % 9.23/9.49 2615. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2616. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2615 380 1667 492 % 9.23/9.49 2617. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2618. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2617 380 248 492 % 9.23/9.49 2619. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2616 1468 2618 663 % 9.23/9.49 2620. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2610 2614 728 2619 % 9.23/9.49 2621. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 2620 % 9.23/9.49 2622. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 2608 2609 946 2621 % 9.23/9.49 2623. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### ConjTree 2622 % 9.23/9.49 2624. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ### ConjTree 796 % 9.23/9.49 2625. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.49 2626. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2627. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.23/9.49 2628. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 584 2627 1195 % 9.23/9.49 2629. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2626 2628 1786 492 % 9.23/9.49 2630. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2631. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2630 545 1786 492 % 9.23/9.49 2632. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 2625 524 2629 2631 % 9.23/9.49 2633. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2634. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2633 271 1786 492 % 9.23/9.49 2635. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.49 2636. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.23/9.49 2637. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1817 1131 926 1628 % 9.23/9.49 2638. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 2636 2637 1188 % 9.23/9.49 2639. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 2635 524 2629 2638 % 9.23/9.49 2640. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.23/9.49 2641. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 9.23/9.49 2642. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 9.23/9.49 2643. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 2642 147 1116 511 % 9.23/9.49 2644. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2643 % 9.23/9.49 2645. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2632 2634 1255 511 % 9.23/9.49 2646. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2645 % 9.23/9.49 2647. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 9.23/9.49 2648. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e3)) = (e1)) ### ConjTree 2647 % 9.23/9.49 2649. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.23/9.49 2650. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e2)) != (e3)) ### ConjTree 2649 % 9.23/9.49 2651. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 9.23/9.49 2652. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2651 % 9.23/9.49 2653. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 226 % 9.23/9.49 2654. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 2473 % 9.23/9.49 2655. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2656. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) != (e3)) ### ConjTree 2655 % 9.23/9.49 2657. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.23/9.49 2658. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e2)) != (e3)) ### ConjTree 2657 % 9.23/9.49 2659. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 9.23/9.49 2660. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2659 % 9.23/9.49 2661. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2662. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.23/9.49 2663. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 9.23/9.49 2664. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 9.23/9.49 2665. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 2662 2663 2664 % 9.23/9.49 2666. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ### DisjTree 2326 349 2422 2665 % 9.23/9.49 2667. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2661 2666 251 609 % 9.23/9.49 2668. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 9.23/9.49 2669. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.23/9.49 2670. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 2668 1116 843 2669 % 9.23/9.49 2671. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1045 2667 2670 511 % 9.23/9.49 2672. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 9.23/9.49 2673. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 2311 2672 572 % 9.23/9.49 2674. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2671 1531 2629 2673 % 9.23/9.49 2675. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2674 % 9.23/9.49 2676. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ### ConjTree 796 % 9.23/9.49 2677. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 9.23/9.49 2678. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) != (e3)) ### ConjTree 2677 % 9.23/9.49 2679. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 9.23/9.49 2680. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e3)) = (e1)) ### ConjTree 2679 % 9.23/9.49 2681. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 9.23/9.49 2682. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2681 % 9.23/9.49 2683. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 609 % 9.23/9.49 2684. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 609 % 9.23/9.49 2685. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 2665 % 9.23/9.49 2686. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 2665 % 9.23/9.49 2687. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 9.23/9.49 2688. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2687 % 9.23/9.49 2689. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 9.23/9.49 2690. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2689 % 9.23/9.49 2691. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 9.23/9.49 2692. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2691 % 9.23/9.49 2693. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom % 9.23/9.49 2694. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2693 % 9.23/9.49 2695. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ### DisjTree 2 4 6 8 10 12 2644 2624 20 2646 27 1768 30 2648 2650 2652 40 42 2653 2592 48 50 52 54 2654 61 63 1075 2656 138 2658 2660 414 2675 418 2058 621 427 429 2676 432 434 436 438 2678 2680 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694 % 9.33/9.49 2696. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 572 511 663 492 % 9.33/9.49 2697. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1520 192 2696 1628 % 9.33/9.49 2698. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 2697 % 9.33/9.49 2699. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1794 192 2696 1628 % 9.33/9.49 2700. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 2699 % 9.33/9.49 2701. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 9.33/9.49 2702. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e3)) = (e2)) ### ConjTree 2701 % 9.33/9.49 2703. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 9.33/9.49 2704. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e3)) = (e2)) ### ConjTree 2703 % 9.33/9.49 2705. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 443 % 9.33/9.49 2706. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1559 % 9.33/9.49 2707. 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(e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) 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((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 2 4 6 8 10 12 2698 2624 20 2700 27 1768 30 2648 2702 2652 40 42 2653 2592 48 50 52 54 2654 61 63 1075 2656 138 2704 2660 414 2705 418 2058 2706 427 429 2676 432 434 436 438 2678 2680 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694 % 9.33/9.49 2708. 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(e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### Or 2695 2707 % 9.33/9.49 2709. 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(e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2638 883 2641 2708 % 9.33/9.49 2710. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) 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/\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 2640 524 151 2709 % 9.33/9.49 2711. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.49 2712. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 308 1131 926 1628 % 9.33/9.49 2713. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 2711 2712 1188 % 9.33/9.49 2714. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 9.33/9.49 2715. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2713 883 2714 511 % 9.33/9.49 2716. 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((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2632 2639 2710 2715 % 9.33/9.49 2717. ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) 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(((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op 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(e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2632 2634 1255 2716 % 9.33/9.50 2718. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. 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(((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ### ConjTree 2717 % 9.33/9.50 2719. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2720. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e1)) != (e3)) ### ConjTree 2719 % 9.33/9.50 2721. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2722. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.33/9.50 2723. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2724. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 2722 783 1131 2723 % 9.33/9.50 2725. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 2724 839 1628 % 9.33/9.50 2726. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 2721 2725 1188 % 9.33/9.50 2727. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 9.33/9.50 2728. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 9.33/9.50 2729. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2730. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 2728 783 1437 2729 % 9.33/9.50 2731. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 1520 % 9.33/9.50 2732. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 1794 % 9.33/9.50 2733. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 9.33/9.50 2734. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e3)) = (e0)) ### ConjTree 2733 % 9.33/9.50 2735. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 1961 266 443 1059 % 9.33/9.50 2736. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 2735 % 9.33/9.50 2737. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 1961 266 1559 1059 % 9.33/9.50 2738. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 2737 % 9.33/9.50 2739. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 9.33/9.50 2740. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e3)) = (e0)) ### ConjTree 2739 % 9.33/9.50 2741. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = 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(e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) = 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(e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 2 4 6 8 10 12 2731 2624 20 2732 27 1768 30 2648 2702 2652 40 42 2653 2592 48 50 52 54 2654 61 63 1075 2734 138 2704 2660 414 2705 418 2058 2706 427 429 2676 432 434 436 438 2740 2680 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694 % 9.33/9.50 2743. 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(e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### Or 2741 2742 % 9.33/9.50 2744. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 750 203 658 1188 % 9.33/9.50 2745. 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(e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 1977 2743 2744 796 % 9.33/9.50 2746. 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(e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2726 2614 2024 2746 % 9.33/9.50 2748. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2747 % 9.33/9.50 2749. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.33/9.50 2750. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2751. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) = (e3)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 2422 77 2749 2750 % 9.33/9.50 2752. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.33/9.50 2753. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 2752 369 1204 1667 % 9.33/9.50 2754. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 2753 2185 609 % 9.33/9.50 2755. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 2185 2751 2754 1059 % 9.33/9.50 2756. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2757. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2755 2756 329 1188 % 9.33/9.50 2758. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 9.33/9.50 2759. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2760. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 1531 77 2758 2759 % 9.33/9.50 2761. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 9.33/9.50 2762. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != 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\/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### ConjTree 2746 % 9.33/9.50 2763. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1667 349 353 796 % 9.33/9.50 2764. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.33/9.50 2765. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2763 329 2764 1168 % 9.33/9.50 2766. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 141 2765 369 1977 % 9.33/9.50 2767. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((e1) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2766 % 9.33/9.50 2768. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 2673 % 9.33/9.50 2769. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 545 964 1204 1059 % 9.33/9.50 2770. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2771. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2769 2770 197 2665 % 9.33/9.50 2772. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 778 2771 1961 % 9.33/9.50 2773. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2772 % 9.33/9.50 2774. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.50 2775. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e1)) != (e3)) ### ConjTree 2774 % 9.33/9.50 2776. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op 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(((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 2 4 6 8 10 12 2731 2624 20 2732 27 1768 30 2720 2650 2652 40 42 2762 2592 48 50 52 54 2767 61 63 1075 2734 138 2658 2660 414 2768 418 2058 2773 427 429 2676 432 434 436 438 2740 2775 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694 % 9.33/9.51 2777. 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/\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ 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(e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 2776 2745 % 9.33/9.51 2778. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. 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(e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op 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(e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2757 2760 2761 2777 % 9.33/9.51 2779. 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(e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2778 % 9.33/9.51 2780. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 9.33/9.51 2781. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 9.33/9.51 2782. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.33/9.51 2783. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 2781 342 843 2782 % 9.33/9.51 2784. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 2780 888 2783 511 % 9.33/9.51 2785. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1045 2667 2670 2784 % 9.33/9.51 2786. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2785 1531 2629 2673 % 9.33/9.51 2787. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2786 % 9.33/9.51 2788. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.33/9.51 2789. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.33/9.51 2790. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 839 2788 803 2789 % 9.33/9.51 2791. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 610 2790 1628 % 9.33/9.51 2792. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 9.33/9.51 2793. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2791 2792 197 2665 % 9.33/9.51 2794. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 9.33/9.51 2795. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 9.33/9.51 2796. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 9.33/9.51 2797. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 2024 2795 803 2796 % 9.33/9.51 2798. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2793 2794 2797 2773 % 9.33/9.51 2799. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2798 % 9.33/9.51 2800. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 2 4 6 8 10 12 2623 2624 20 2718 27 1768 30 2720 2650 2652 40 42 2748 2592 48 50 52 54 2779 61 63 1075 2656 138 2658 2660 414 2787 418 2058 2799 427 429 2676 432 434 436 438 2678 2775 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694 % 9.33/9.51 2801. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 9.33/9.51 2802. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (-. 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(e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = 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(e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 2801 524 443 2709 % 9.33/9.51 2803. 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((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 2802 % 9.33/9.51 2804. ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e2)) 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2 4 6 8 10 12 2621 2624 20 2803 27 1768 30 2720 2702 2652 40 42 2748 2592 48 50 52 54 2779 61 63 1075 2656 138 2704 2660 414 2705 418 2058 2706 427 429 2676 432 434 436 438 2678 2775 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694 % 9.33/9.51 2805. 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(((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ### Or 2800 2804 % 9.33/9.52 2806. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### Or 2805 2708 % 9.33/9.52 2807. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### Or 2777 2743 % 9.33/9.52 2808. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = 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(((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op 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(e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 2806 2807 % 9.33/9.52 2809. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### ConjTree 2808 % 9.33/9.52 2810. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != 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\/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 1502 2248 2605 2809 % 9.33/9.52 2811. 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(e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### And 2810 % 9.33/9.52 2812. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op 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(e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 2811 % 9.33/9.53 2813. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ### ConjTree 2812 % 9.33/9.53 2814. 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\/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ 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((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op 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(e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) /\ (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))) ### ConjTree 2814 % 9.33/9.53 % SZS output end Proof % 9.33/9.53 (* END-PROOF *) %------------------------------------------------------------------------------